Sources:

  1. B. P. Lathi & Roger Green. (2018). Chapter 7: Continuous-Time Analysis: The Fourier Transform. Signal Processing and Linear Systems (3rd ed., pp. 736-749). Oxford University Press.

Modulation causes a spectral shift in a signal, enhacing long distance transmission. Broadly speaking, there are two classes of modulation: amplitude (linear) modulation and angle (nonlinear) modulation.

In this section, we shall discuss some practical forms of amplitude modulation, including:

  1. Double-Sideband, Suppressed-Carrier (DSB-SC) modulation. It is simple and is great for illustrate the idea of amplitude modulation.
  2. Amplitude Modulation (AM). It's more efficient than DSB-SC, whereas one more condition must be satisfied. Techinically speaking, all 3 methods in this article belong to amplitude modulation. But it is this specific method which people call amplitude modulation (AM).
  3. Single-Sideband, Suppressed-Carrier (DSB-SC) modulation. It is a simpler form of (DSB-SC) modulation where only one sideband is transmitted.

The term Suppressed-Carrier (SC) comes from the fact that, both DSB and SSB signals only contain the modulated signal, excluding the carrrier signal, maing the carrier being "suppressed".

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【五代】 鹿虔扆

金锁重门荒苑静,绮窗愁对秋空。翠华一去寂无踪。玉楼歌吹,声断已随风。

烟月不知人事改,夜阑还照深宫。藕花相向野塘中,暗伤亡国,清露泣香红。

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Source:

  1. Papers:
    1. RSSM
    2. DreamerV1
    3. DreamerV2
    4. DreamerV3
  2. Blogs:
    1. EclecticSheep: Dreamer V1
    2. EclecticSheep: Dreamer V2
    3. EclecticSheep: Dreamer V3
    4. EclecticSheep: a2c algorithm
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【北宋】秦观

天涯旧恨,独自凄凉人不问。欲见回肠,断尽金炉小篆香。

黛蛾长敛,任是东风吹不展。困倚危楼,过尽飞鸿字字愁。

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秦观

水边沙外。城郭春寒退。花影乱,莺声碎。飘零疏酒盏,离别宽衣带。人不见,碧云暮合空相对。

忆昔西池会。鹓鹭同飞盖。携手处,今谁在。日边清梦断,镜里朱颜改。春去也,飞红万点愁如海。

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Sources:

  1. B. P. Lathi & Roger Green. (2018). Chapter 4: The Laplace Transform. Signal Processing and Linear Systems (3rd ed., pp. 455-466). Oxford University Press.
  2. B. P. Lathi & Roger Green. (2021). Chapter 7: Filter Design by Placement of Poles and Zeros. Signal Processing and Linear Systems (2nd ed., pp. 666-700). Oxford University Press.
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Sources:

  1. B. P. Lathi & Roger Green. (2018). Chapter 4: The Laplace Transform. Signal Processing and Linear Systems (3rd ed., pp. 436-445). Oxford University Press.

In this section we explore the strong dependence of frequency response on the location of poles and zeros of \(H(s)\). This dependence points to a simple intuitive procedure to filter design.

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Sources:

  1. B. P. Lathi & Roger Green. (2018). Chapter 8: Sampling: The Bridge From Continuous To Discrete. Signal Processing and Linear Systems (3rd ed., pp. 775-784). Oxford University Press.

In this article, we show that a real signal \(x(t)\) whose spectrum is bandlimited to \(B\) Hz, i.e., \(X(\omega)=0\) for \(|\omega|>2 \pi B)\), can be reconstructed exactly (without any error) from its samples taken uniformly at a rate \(f_s>2 B\) samples per second. In other words, the minimum sampling frequency is \[ f_s>2 B \] Hz.

NOTE: In some literature, \(f_s=2 B\) is be used, which is not correct.

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