RL78 Family APPLICATION NOTE. FFT Library: Introduction Guide. Introduction. Target Device. R20AN0150EJ0103 Rev Oct 01, 2015

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Introduction APPLICATION NOTE This document explains FFT Library V.1.01 Release 00 (hereafter referred to as FFT library"). FFT library will differ depending on the MCUs. Fast Fourier Transform (FFT) is the fast algorithm for efficient implementation of the discrete Fourier transform (DFT). As is well known, the development of FFT by Cooley and Tukey in 1965 has led to phenomenal grown in its applications in digital signal processing. The FFT library for the Renesas Microcomputer is written in optimized assembler. Please refer to the User s Manual to understand how to use the software library. R20AN0150EJ0103 Rev.1.03 Target Device RL78/G13, RL78/G14 R20AN0150EJ0103 Rev.1.03 Page 1 of 13

Contents 1. Structure of This Product... 3 2. Library Functions... 4 3. For CS+ for CA, CX... 4 3.1 Limitations... 4 3.2 Corresponding MCU... 4 3.3 Development Environment... 4 3.4 ROM / RAM / Stack Size... 5 3.5 Section Information... 5 3.6 Performance... 5 3.7 Version Information... 6 4. For CS+ for CC... 7 4.1 Limitations... 7 4.2 Corresponding MCU... 7 4.3 Development Environment... 7 4.4 ROM / RAM / Stack Size... 8 4.5 Section Information... 8 4.6 Performance... 8 4.7 Version Information... 9 5. For IAR Embedded Workbench... 10 5.1 Limitations... 10 5.2 Corresponding MCU... 10 5.3 Development Environment... 10 5.4 ROM/ RAM / Stack Size... 11 5.5 Section Information... 11 5.6 Performance... 11 5.7 Version Information... 12 R20AN0150EJ0103 Rev.1.03 Page 2 of 13

1. Structure of This Product This product is consists of the following components: 1. FFT Library V.1.01 Release 00 2. FFT Library V.1.01 Release 00 Introduction Guide(r20an0150ej0103_rl78_fft.pdf) part number of this product : R0M7800LF0010RRC Table 1 FFT library product files name r20an0150ej0103_rl78_fft.pdf workspace(workspace) Document (doc) English(en) r20uw0099ej0102_fft.pdf r20an0150ej0103_rl78_fft.pdf Japanese(ja) r20uw0099jj0102_fft.pdf r20an0150jj0103_rl78_fft.pdf For CS+ for CA, CX(CS+ for CA) FFT Library (lib) libfft_rl78g13.lib libfft_rl78g14.lib r_fft_int16.h r_stdint.h Sample program (sample) rl78g14_fft For CS+ for CC(CS+ for CC) FFT Library (lib) libfft_rl78g13.lib libfft_rl78g14.lib r_fft_int16.h r_stdint.h Sample program (sample) rl78g14_fft_ccrl For IAR Embedded Workbench(IAR) FFT Library (lib) libfft_rl78g13.a libfft_rl78g14.a r_fft_int16.h r_stdint.h Sample program (sample) rl78g14_fft_iar Description Introduction Guide (this document) User s Manual Introduction Guide (this document) User s Manual Introduction Guide Assembler-tuned (16-bit fixed-point) FFT library for RL78/G13 version 1.01 Assembler-tuned (16-bit fixed-point) FFT library for RL78/G14 version 1.01 FFT library header file Standard integer typedefs Sample CS+ for CA project(rl78/g14) Assembler-tuned (16-bit fixed-point) FFT library for RL78/G13 version 1.01 Assembler-tuned (16-bit fixed-point) FFT library for RL78/G14 version 1.01 FFT library header file Standard integer typedefs Sample CS+ for CC project(rl78/g14) Assembler-tuned (16-bit fixed-point) FFT library for RL78/G13 version 1.01 Assembler-tuned (16-bit fixed-point) FFT library for RL78/G14 version 1.01 FFT library header file Standard integer typedefs Sample IAR IDE Workspace project(rl78/g14) R20AN0150EJ0103 Rev.1.03 Page 3 of 13

2. Library Functions FFT Library supports the following library functions (API) API Outline R_rfft64_int16 16-bit fixed-point real FFT (64 points) R_rfft128_int16 16-bit fixed-point real FFT (128 points) R_rfft256_int16 16-bit fixed-point real FFT (256 points) 3. For CS+ for CA, CX 3.1 Limitations Since RL78/G13 FFT utilizes the multiplier and divider/multiply-accumulator for multiply accumulate operations, the application must not change the values of the following registers in its user interrupt functions: Registers: Multiplication/division data register A (L) (MDAL) Multiplication/division data register A (H) (MDAH) Multiplication/division data register B (L) (MDBL) Multiplication/division data register B (H) (MDBH) Multiplication/division data register C (L) (MDCL) Multiplication/division data register C (H) (MDCH) Control Register: Multiplication/division control register (MDUC) For further information, please consult Chapter 14 Multiplier and Divider/Multiply-Accumulator, RL78/G13 User s Manual: Hardware 3.2 Corresponding MCU This product is specifically built with the following compiler options: -qx2 common mm mi0 ng 3.3 Development Environment Renesas Toolchain Requirements Please use the same or a later version of the toolchain listed below: Integrated Development Environment: CS+ for CA, CX V3.00.01 C compiler: CA78K0R V1.71 Debugger: RL78 Simulator; Debugger Library V3.00.00 R20AN0150EJ0103 Rev.1.03 Page 4 of 13

3.4 ROM / RAM / Stack Size The ROM, RAM, and stack footprints of each FFT library functions (API) are shown below (in bytes): API ROM RAM Stack R_rfft64_int16 1261 0 66 R_rfft128_int16 1513 0 66 R_rfft256_int16 2019 0 66 API ROM RAM Stack R_rfft64_int16 1225 0 66 R_rfft128_int16 1477 0 66 R_rfft256_int16 1983 0 66 3.5 Section Information The following table shows program sections (segments) used in each FFT library. Section name Contents Section Attributes @@CODEL program code CSEG @@CNST constant data CSEG MIRRORP 3.6 Performance The following table shows FFT library s performance. The processing speeds are indicated in processing time per function call. R_rfft64_int16 R_rfft128_int16 R_rfft256_int16 API time( system clock = 32MHz ) About 0.4ms About 0.9ms About 1.9ms R_rfft64_int16 R_rfft128_int16 R_rfft256_int16 API time( system clock = 32MHz ) About 0.4ms About 0.9ms About 1.9ms R20AN0150EJ0103 Rev.1.03 Page 5 of 13

3.7 Version Information The application may refer the following version string of FFT library via the global variable r_fft_a_version: extern const char r_fft_a_version[]; And the data that is included in this package is below. const char r_fft_a_version[] = FFT Library version 1.01 for RL78 Family (RL78G13) (Dec 07 2015, 17:29:14) ; const char r_fft_a_version[] = FFT Library version 1.01 for RL78 Family (RL78G14) (Dec 07 2015, 17:28:57) ; R20AN0150EJ0103 Rev.1.03 Page 6 of 13

4. For CS+ for CC 4.1 Limitations Since RL78/G13 FFT utilizes the multiplier and divider/multiply-accumulator for multiply accumulate operations, the application must not change the values of the following registers in its user interrupt functions: Registers: Multiplication/division data register A (L) (MDAL) Multiplication/division data register A (H) (MDAH) Multiplication/division data register B (L) (MDBL) Multiplication/division data register B (H) (MDBH) Multiplication/division data register C (L) (MDCL) Multiplication/division data register C (H) (MDCH) Control Register: Multiplication/division control register (MDUC) For further information, please consult Chapter 14 Multiplier and Divider/Multiply-Accumulator, RL78/G13 User s Manual: Hardware 4.2 Corresponding MCU This product is specifically built with the following compiler options: -asmopt=-mirror_source=common -memory_model=medium 4.3 Development Environment Renesas Toolchain Requirements Please use the same or a later version of the toolchain listed below: Integrated Development Environment: CS+ for CC V3.01.00 C compiler: CCRL V1.01 Debugger: RL78 Simulator Device V3.01.00 DeviceRl78 V3.01.00 ConfigurationRl78Simulator V3.01.00 EngineManager V3.01.00 EngineManagerExec V3.01.00 RL78 Asm/Disasm V3.01.00 DBEvaluatorManager V3.01.00 LoadModuleManager V3.01.00 R20AN0150EJ0103 Rev.1.03 Page 7 of 13

4.4 ROM / RAM / Stack Size The ROM, RAM, and stack footprints of each FFT library functions (API) are shown below (in bytes): API ROM RAM Stack R_rfft64_int16 1260 0 68 R_rfft128_int16 1512 0 68 R_rfft256_int16 2018 0 68 API ROM RAM Stack R_rfft64_int16 1224 0 68 R_rfft128_int16 1476 0 68 R_rfft256_int16 1982 0 68 4.5 Section Information The following table shows program sections (segments) used in each FFT library. Section name Contents Section Attributes.textf program code.cseg TEXTF.const constant data.cseg CONST 4.6 Performance The following table shows FFT library s performance. The processing speeds are indicated in processing time per function call. R_rfft64_int16 R_rfft128_int16 R_rfft256_int16 API time( system clock = 32MHz ) About 0.4ms About 0.9ms About 1.9ms R_rfft64_int16 R_rfft128_int16 R_rfft256_int16 API time( system clock = 32MHz ) About 0.4ms About 0.9ms About 1.9ms R20AN0150EJ0103 Rev.1.03 Page 8 of 13

4.7 Version Information The application may refer the following version string of FFT library via the global variable r_fft_a_version: extern const char r_fft_a_version[]; And the data that is included in this package is below. const char r_fft_a_version[] = FFT Library version 1.01 for RL78 Family (RL78G13) (Dec 7 2015, 17:30:04) ; const char r_fft_a_version[] = FFT Library version 1.01 for RL78 Family (RL78G14) (Dec 7 2015, 17:29:42) ; R20AN0150EJ0103 Rev.1.03 Page 9 of 13

5. For IAR Embedded Workbench 5.1 Limitations Since RL78/G13 FFT utilizes the multiplier and divider/multiply-accumulator for multiply accumulate operations, the application must not change the values of the following registers in its user interrupt functions: Registers: Multiplication/division data register A (L) (MDAL) Multiplication/division data register A (H) (MDAH) Multiplication/division data register B (L) (MDBL) Multiplication/division data register B (H) (MDBH) Multiplication/division data register C (L) (MDCL) Multiplication/division data register C (H) (MDCH) Control Register: Multiplication/division control register (MDUC) For further information, please consult Chapter 14 Multiplier and Divider/Multiply-Accumulator, RL78/G13 User s Manual: Hardware 5.2 Corresponding MCU This product is specifically built with the following compiler options: --core rl78_1 code_model far data_model near --near_const_location rom0 e Oh library_module --core rl78_2 code_model far data_model near --near_const_location rom0 e Oh library_module 5.3 Development Environment Renesas Toolchain Requirements Please use the same or a later version of the toolchain listed below: Integrated Development Environment: IAR Embedded Workbench for Renesas RL78 V2.10.1 C compiler: IAR C/C++ Compiler for Renesas RL78 V2.10.1.1362 Debugger: IAR C-SPY Debugger Kernel V7.2.2.3718 R20AN0150EJ0103 Rev.1.03 Page 10 of 13

5.4 ROM/ RAM / Stack Size The ROM, RAM, and stack footprints of each FFT library functions (API) are shown below (in bytes): API ROM RAM stack R_rfft64_int16 1262 0 68 R_rfft128_int16 1514 0 68 R_rfft256_int16 2020 0 68 API ROM RAM stack R_rfft64_int16 1226 0 68 R_rfft128_int16 1478 0 68 R_rfft256_int16 1984 0 68 5.5 Section Information The following table shows program sections (segments) used in FFT library. Section name Contents.textf program code.const constant data 5.6 Performance The following table shows FFT library s performance. The processing speeds are indicated in processing time per function call. R_rfft64_int16 R_rfft128_int16 R_rfft256_int16 API time( system clock = 32MHz ) About 0.4ms About 0.9ms About 1.9ms R_rfft64_int16 R_rfft128_int16 R_rfft256_int16 API time( system clock = 32MHz ) About 0.4ms About 0.9ms About 1.9ms R20AN0150EJ0103 Rev.1.03 Page 11 of 13

5.7 Version Information The application may refer the following version string of FFT library via the global variable r_fft_a_version: extern const char r_fft_a_version[]; And the data that is included in this package is below. const char r_fft_a_version[] = FFT Library version 1.01 for RL78 Family (RL78G13) (Dec 7 2015, 17:32:09) ; const char r_fft_a_version[] = FFT Library version 1.01 for RL78 Family (RL78G14) (Dec 7 2015, 17:31:03) ; R20AN0150EJ0103 Rev.1.03 Page 12 of 13

Website and Support Renesas Electronics Website http://www.renesas.com/ Inquiries http://www.renesas.com/contact/ All trademarks and registered trademarks are the property of their respective owners. R20AN0150EJ0103 Rev.1.03 Page 13 of 13

Revision History Rev. Date Description Page Summary 1.03 Changed CubeSuite+ to CS+ for CA,CX Supported CS+ for CC. 1.02 Apr 01, 2015 P2 Updated Structure of This Product section for package version V.1.00 Release 02. 1.01 Apr 01, 2014 Updated Structure of This Product section for package version V.1.00 Release 01. Added support IAR Embedded Workbench 1.00 Mar 31, 2012 First edition issued A-1

General Precautions in the Handling of Microprocessing Unit and Microcontroller Unit Products The following usage notes are applicable to all Microprocessing unit and Microcontroller unit products from Renesas. For detailed usage notes on the products covered by this document, refer to the relevant sections of the document as well as any technical updates that have been issued for the products. 1. Handling of Unused Pins Handle unused pins in accordance with the directions given under Handling of Unused Pins in the manual. The input pins of CMOS products are generally in the high-impedance state. In operation with an unused pin in the open-circuit state, extra electromagnetic noise is induced in the vicinity of LSI, an associated shoot-through current flows internally, and malfunctions occur due to the false recognition of the pin state as an input signal become possible. Unused pins should be handled as described under Handling of Unused Pins in the manual. 2. Processing at Power-on The state of the product is undefined at the moment when power is supplied. The states of internal circuits in the LSI are indeterminate and the states of register settings and pins are undefined at the moment when power is supplied. In a finished product where the reset signal is applied to the external reset pin, the states of pins are not guaranteed from the moment when power is supplied until the reset process is completed. In a similar way, the states of pins in a product that is reset by an on-chip power-on reset function are not guaranteed from the moment when power is supplied until the power reaches the level at which resetting has been specified. 3. Prohibition of Access to Reserved Addresses Access to reserved addresses is prohibited. The reserved addresses are provided for the possible future expansion of functions. Do not access these addresses; the correct operation of LSI is not guaranteed if they are accessed. 4. Clock Signals After applying a reset, only release the reset line after the operating clock signal has become stable. When switching the clock signal during program execution, wait until the target clock signal has stabilized. When the clock signal is generated with an external resonator (or from an external oscillator) during a reset, ensure that the reset line is only released after full stabilization of the clock signal. Moreover, when switching to a clock signal produced with an external resonator (or by an external oscillator) while program execution is in progress, wait until the target clock signal is stable. 5. Differences between Products Before changing from one product to another, i.e. to a product with a different part number, confirm that the change will not lead to problems. The characteristics of Microprocessing unit or Microcontroller unit products in the same group but having a different part number may differ in terms of the internal memory capacity, layout pattern, and other factors, which can affect the ranges of electrical characteristics, such as characteristic values, operating margins, immunity to noise, and amount of radiated noise. When changing to a product with a different part number, implement a system-evaluation test for the given product.

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Please contact a Renesas Electronics sales office if you have any questions regarding the information contained in this document or Renesas Electronics products, or if you have any other inquiries. (Note 1) "Renesas Electronics" as used in this document means Renesas Electronics Corporation and also includes its majority-owned subsidiaries. (Note 2) "Renesas Electronics product(s)" means any product developed or manufactured by or for Renesas Electronics. SALES OFFICES Refer to "http://www.renesas.com/" for the latest and detailed information. Renesas Electronics America Inc. 2801 Scott Boulevard Santa Clara, CA 95050-2549, U.S.A. Tel: +1-408-588-6000, Fax: +1-408-588-6130 Renesas Electronics Canada Limited 9251 Yonge Street, Suite 8309 Richmond Hill, Ontario Canada L4C 9T3 Tel: +1-905-237-2004 Renesas Electronics Europe Limited Dukes Meadow, Millboard Road, Bourne End, Buckinghamshire, SL8 5FH, U.K Tel: +44-1628-585-100, Fax: +44-1628-585-900 Renesas Electronics Europe GmbH Arcadiastrasse 10, 40472 Düsseldorf, Germany Tel: +49-211-6503-0, Fax: +49-211-6503-1327 Renesas Electronics (China) Co., Ltd. Room 1709, Quantum Plaza, No.27 ZhiChunLu Haidian District, Beijing 100191, P.R.China Tel: +86-10-8235-1155, Fax: +86-10-8235-7679 Renesas Electronics (Shanghai) Co., Ltd. Unit 301, Tower A, Central Towers, 555 Langao Road, Putuo District, Shanghai, P. R. China 200333 Tel: +86-21-2226-0888, Fax: +86-21-2226-0999 Renesas Electronics Hong Kong Limited Unit 1601-1611, 16/F., Tower 2, Grand Century Place, 193 Prince Edward Road West, Mongkok, Kowloon, Hong Kong Tel: +852-2265-6688, Fax: +852 2886-9022 Renesas Electronics Taiwan Co., Ltd. 13F, No. 363, Fu Shing North Road, Taipei 10543, Taiwan Tel: +886-2-8175-9600, Fax: +886 2-8175-9670 Renesas Electronics Singapore Pte. Ltd. 80 Bendemeer Road, Unit #06-02 Hyflux Innovation Centre, Singapore 339949 Tel: +65-6213-0200, Fax: +65-6213-0300 Renesas Electronics Malaysia Sdn.Bhd. Unit 1207, Block B, Menara Amcorp, Amcorp Trade Centre, No. 18, Jln Persiaran Barat, 46050 Petaling Jaya, Selangor Darul Ehsan, Malaysia Tel: +60-3-7955-9390, Fax: +60-3-7955-9510 Renesas Electronics India Pvt. Ltd. No.777C, 100 Feet Road, HALII Stage, Indiranagar, Bangalore, India Tel: +91-80-67208700, Fax: +91-80-67208777 Renesas Electronics Korea Co., Ltd. 12F., 234 Teheran-ro, Gangnam-Gu, Seoul, 135-080, Korea Tel: +82-2-558-3737, Fax: +82-2-558-5141 http://www.renesas.com 2015 Renesas Electronics Corporation. All rights reserved. Colophon 5.0