Skip to content

Latest commit

 

History

History
147 lines (117 loc) · 4.54 KB

CHANGELOG.md

File metadata and controls

147 lines (117 loc) · 4.54 KB
Raw

Changelog

All notable changes to this project will be documented in this file.

The format is based on Keep a Changelog, and this project adheres to Semantic Versioning.

[Unreleased]

  • Fixed:
    • spurious chapter whose name is printed as '*' just before the bibliography
  • Added:
    • application order of time-shift and time-scaling
    • (d/dt) |x(t)|^2 = 2Re(x(t)conj(x'(t)))
    • derivative of convolution
    • Fourier transform of only real/imaginary part
    • Nyquist ISI criterion
    • Parseval's theorem
    • quadrature demodulation

[0.12.0] - 2024-12-09

  • Fixed:
    • fix typos:
      • '各周波数' -> '角周波数'
    • Refined words: changed from '時間' to '座標' in the following theorems:
      • DFT of Hermitian signal is real-valued
      • IDFT of Hermitian signal is real-valued
    • missing conjugate symbol over 'DFT(g)(k)' in the equation 'DFT of cyclic correlation'
  • Added:
    • Fourier Transform of time-inverted and conjugate signal
    • DFT of cyclic convolution
    • Band-limited signals at regular intervals give a constant.

[0.11.1] - 2023-12-16

  • Fixed:
    • spelling errors. Replaced "スペクトル" with "スペクトラム".
    • wrong statement "DC gain" of CIC up-sampler.

[0.11.0] - 2023-12-16

  • Fixed:
    • Replaced misused word 'up-sampling' with 'over-sampling'.
    • Replaced misused word 'down-sampling' with 'under-sampling'.
  • Added:
    • Noble Identity
    • CIC up-sampler and CIC down-sampler

[0.10.0] - 2023-09-09

  • Changed:
    • Improved the derivation of under-sampling effect to DTFT.
    • Migrated from UpLaTeX to LuaLaTeX.
  • Added:
    • NCO spurious caused by PAW truncation
    • statistics of sin wave
    • the over-sampling effect to DTFT

[0.9.0] 2023-05-12

  • Fixed:
    • wrong statement in IX.2.1 The frequency spectrum of 0-order-held discrete-time signal
  • Refactored:
    • hierarchy structure of discrete-time, continuous-time and their mix domain
  • Added:
    • Fourier transform of product and convolution of two signals
    • Hilbert transform
    • Quick Reference for Fourier Transform
    • DTFT of over-sampled signal

[0.8.0] - 2023-04-25

  • Fixed:
    • Fixed bad figure numbering. Now the the figure number format is <part>.<chapter>.<section>.<figure number in the section>.
    • a typo in VIII.4.1 frequency spectrum of over-sampling
    • lost characters in figure IX.2.1.
    • typos in IV.4.8: 「 $T_\text{s}$ を十分に大きく」→「 $T_\text{s}$ を十分に小さく」, 「逆に $T_\text{s}$ が小さいとき」→「逆に $T_\text{s}$ が大きいとき」
  • Added:
    • heterodyne
    • inverse-sinc filter
    • another derivation of DTFT of sampled signal (IV.4.8)
    • DTFT of under-sampled signal

[0.7.0] - 2023-04-11

  • Fixed:
    • minor error in the final value theorem of Z-transform
  • Improved:
    • use Roman 'e' as exp function
  • Added:
    • parity of Fourier transform
    • Frequency spectrum of ideal DA conversion
    • Frequency spectrum of over-sampling

[0.6.0] - 2022-09-27

  • Refactored
    • Renamed title in title page: "motchyの信号処理備忘録" -> "信号処理備忘録"
    • Renamed a part: "Fourier解析" -> "Fourier級数とFourier変換"
    • Moved "Sampling Theorem" after "Fourier Transform"
  • Added
    • continuous-time filter behavior observed from discrete-time system.
    • a lemma for comprehension of DCT basis orthogonality
    • power spectrum of 0-order-held sinusoid
    • z-transform of continuous system with 0-order-hold input
    • power spectrum of integral sinusoid by Euler method

[0.5.0] - 2022-05-30

  • Fixed
    • typos and mistakes of sign in Sampling Theorem
  • Improved
    • Replaced ,\cdots, with ,\dots,.
  • Added
    • definition of cyclic correlation
    • DFT of cyclic correlation

[0.4.0] - 2022-04-01

  • Fixed
    • minor errors in DTFT
    • critical errors in Sampling Theorem (The summing range is not restricted to be natural numbers, but integers.)
  • Added
    • relationship between DTFT and aliasing
    • integral representation of Heaviside step function
    • DTFT of Gaussian noise
    • average spectrum of Gaussian noise

[0.3.0] - 2022/2/17

  • Introduced hyperref package.
  • Added version to title page.
  • Added inverse Fourier transform.
  • Added frequency-oriented Fourier transform.

[0.2.0] - 2021/8/29

  • Added DTFT
  • Fixed style:
    • Replaced := with \coloneqq.
    • Replaced \cdots with \dotsc in comma-separated sequences.

[0.1.0] - 2021-7-2

  • Added a theorem about equivalence of cos similarity and best approximation on signal searching.
  • Added a theorem about DFT of complex-valued Gaussian noise.