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ECS528U - Communications Systems - 2025/26

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Which of the following statements is NOT TRUE for the Delta Dirac :

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triangular wave with an amplitude A=1 is affected by AWGN. If the standard deviation of the Gaussian noise is 0.5, the SNR in dB is:

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Consider a signal having a  power spectral density of a generic value H Watts/Hz distributed between 0 Hz  4Hz as illustrated below.

PSD shape

Supposing to filter this signal with an Ideal Low Pass filter having a cut-off frequency of 3Hz, find the AMOUNT AND NOT THE PERCENTAGE of the signal’s power eliminated by the filter.

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A power spectral density [W/Hz] of a generic signal has a triangular shape as illustrated below:

PSD shape

What is the PERCENTAGE (%) of the signal’s power over 80Hz?

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A power spectral density [W/Hz] of a generic signal has a generic shape as illustrated below:

How much is the power above 110 Hz?

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If we observe a SINC in the Frequency domain, what we can say about its corresponding function in the time domain ?

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Suppose to have a periodic Square wave of fundamental frequency Hz. Which of the following components is a zero component of its corresponding Fourier Series decomposition? 

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Integration of a power spectral density yields:

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In which cases we need to use the Fourier transform instead of the Fourier series?

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