Question

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

score 157 · Answer 1 · 2026-03-24 13:55:51

157

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

Published on 24 Mar 2026 - 13:55

score 60 · Answer 2 · 2026-03-17 07:42:00

60

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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 17 Mar 2026 - 7:42

score 116 · Answer 3 · 2026-03-17 05:00:22

116

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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 17 Mar 2026 - 5:00

score 66 · Answer 4 · 2026-03-17 15:17:27

66

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Taking the Discrete Inverse Fourier Transform of a Continuous Forward Transform

Published on 17 Mar 2026 - 15:17

score 745 · Answer 5 · 2026-03-18 02:18:03

745

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

Published on 18 Mar 2026 - 2:18

score 87 · Answer 6 · 2026-03-17 13:32:35

87

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Fast moving object, how to remove noise from observations?

Published on 17 Mar 2026 - 13:32

score 2.6k · Answer 7 · 2026-03-19 04:34:02

2.6k

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Computing convolution using the Fourier transform

Published on 19 Mar 2026 - 4:34

score 1.1k · Answer 8 · 2026-03-17 04:29:55

1.1k

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

Published on 17 Mar 2026 - 4:29

score 69 · Answer 9 · 2026-03-17 21:32:38

69

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Finding closed expression for the output of an LTI system

Published on 17 Mar 2026 - 21:32

score 109 · Answer 10 · 2026-03-21 10:07:32

109

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

Published on 21 Mar 2026 - 10:07

score 55 · Answer 11 · 2026-03-20 03:39:15

55

Views

Trigonometry: Negative cosine to polar form

Published on 20 Mar 2026 - 3:39

score 143 · Answer 12 · 2026-03-25 04:41:06

143

Views

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

Published on 25 Mar 2026 - 4:41

score 96 · Answer 13 · 2026-03-25 05:45:37

96

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

Published on 25 Mar 2026 - 5:45

score 160 · Answer 14 · 2026-03-14 22:07:59

160

Views

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

Published on 14 Mar 2026 - 22:07

score 219 · Answer 15 · 2026-03-23 13:12:04

219

Views

Mathematical terms for "bandlimited" and "timelimited"?

Published on 23 Mar 2026 - 13:12

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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