Question

What is the result of $x(at) * δ(t-k)$

score 168 · Answer 1 · 2026-05-07 07:42:28

168

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What is the result of $x(at) * δ(t-k)$

Published on 07 May 2026 - 7:42

score 74 · Answer 2 · 2026-05-05 07:26:04

74

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How is $\int_{-T_0/2}^{+T_0/2} \delta(t) \cos(n\omega_0 t)dt=1$ and $\int_{-T_0/2}^{+T_0/2} \delta(t) \sin(n\omega_0 t)=0$?

Published on 05 May 2026 - 7:26

score 127 · Answer 3 · 2026-05-07 19:18:27

127

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Show that a periodic function $f(t)$ with period $T$ can be written as $ f(t) = f_T (t) \star \frac{1}{T} \text{comb}\bigg(\frac{t}{T}\bigg) $

Published on 07 May 2026 - 19:18

score 77 · Answer 4 · 2026-05-05 05:32:57

77

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Taking the Discrete Inverse Fourier Transform of a Continuous Forward Transform

Published on 05 May 2026 - 5:32

score 756 · Answer 5 · 2026-05-07 12:44:55

756

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Is $x(t) = \sin(3t) + \cos\left({2\over3}t\right) + \cos(\pi t)$ periodic?

Published on 07 May 2026 - 12:44

score 99 · Answer 6 · 2026-05-05 09:08:21

99

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Fast moving object, how to remove noise from observations?

Published on 05 May 2026 - 9:08

score 2.6k · Answer 7 · 2026-05-05 19:47:45

2.6k

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Computing convolution using the Fourier transform

Published on 05 May 2026 - 19:47

score 1.1k · Answer 8 · 2026-05-04 19:07:12

1.1k

Views

Find Fourier Transform of $\cos^2(ωt)x(t)$

Published on 04 May 2026 - 19:07

score 79 · Answer 9 · 2026-05-05 13:47:37

79

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Finding closed expression for the output of an LTI system

Published on 05 May 2026 - 13:47

score 118 · Answer 10 · 2026-05-07 10:12:47

118

Views

Is there an intuitive way to see that $\mathbb{E}[X|Y]$ is the least squares estimator of $X$ given $Y$?

Published on 07 May 2026 - 10:12

score 62 · Answer 11 · 2026-05-02 07:09:54

62

Views

Trigonometry: Negative cosine to polar form

Published on 02 May 2026 - 7:09

score 146 · Answer 12 · 2026-04-29 12:23:52

146

Views

Why doesn't extracting the analytic signal work for all kinds of signals?

Published on 29 Apr 2026 - 12:23

score 118 · Answer 13 · 2026-05-02 02:24:13

118

Views

Information transmitting rate of a noisy discrete channel with Omission/Adding errors

Published on 02 May 2026 - 2:24

score 172 · Answer 14 · 2026-05-02 23:54:30

172

Views

How do derive the statistical representation of white noise in the frequency domain.

Published on 02 May 2026 - 23:54

score 228 · Answer 15 · 2026-04-29 12:24:22

228

Views

Mathematical terms for "bandlimited" and "timelimited"?

Published on 29 Apr 2026 - 12:24

List Question

What is the result of $x(at) * δ(t-k)$

How is $\int_{-T_0/2}^{+T_0/2} \delta(t) \cos(n\omega_0 t)dt=1$ and $\int_{-T_0/2}^{+T_0/2} \delta(t) \sin(n\omega_0 t)=0$?

Show that a periodic function $f(t)$ with period $T$ can be written as $ f(t) = f_T (t) \star \frac{1}{T} \text{comb}\bigg(\frac{t}{T}\bigg) $

Taking the Discrete Inverse Fourier Transform of a Continuous Forward Transform

Is $x(t) = \sin(3t) + \cos\left({2\over3}t\right) + \cos(\pi t)$ periodic?

Fast moving object, how to remove noise from observations?

Computing convolution using the Fourier transform

Find Fourier Transform of $\cos^2(ωt)x(t)$

Finding closed expression for the output of an LTI system

Is there an intuitive way to see that $\mathbb{E}[X|Y]$ is the least squares estimator of $X$ given $Y$?

Trigonometry: Negative cosine to polar form

Why doesn't extracting the analytic signal work for all kinds of signals?

Information transmitting rate of a noisy discrete channel with Omission/Adding errors

How do derive the statistical representation of white noise in the frequency domain.

Mathematical terms for "bandlimited" and "timelimited"?

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