561_hmk1

# 561_hmk1 - a Find the energy spectral density of x(t b Find...

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ECE 561 – Digital Communications Systems Homework #1 1. For the signal: x ( t ) = Ae at u ( t ), a > 0 a. Is x(t) an energy or power signal? Why? b. Find the energy or power for x(t). c. Find the energy or power spectral density for x(t) 2. For the signal: x ( t ) = cos2 π t + 5cos 4 t a. Is x(t) an energy or power signal? Why? b. Find the energy or power for x(t). c. Find the energy or power spectral density for x(t) d. Use the results of part c to find the power (compare your result to part b). e. Use the results of part c to find the autocorrelation function, R x ( τ ). f. Use the results of part e to find the power (compare to part b). 3. For a signal x(t):

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Unformatted text preview: a. Find the energy spectral density of x(t) b. Find the energy for x(t) c. Find the autocorrelation function, R x ( τ ) x(t) t-T/2 T/2 1 4. The two-sided power spectral density function for a waveform x(t) is shown below. a. Find the power over the frequency band from 0 to 10 KHz. b. Find the power over the frequency band from 5 to 10 KHz. 5. Given the power spectral density of a bandpass signal as shown below, find: a. Half-power bandwidth b. 99% Fractional power containment bandwidth c. Absolute bandwidth G x (f) 10-6 f 2 f (KHz)-10 10 9 10 11 f(KHz) 0.1 G x (f)...
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## This document was uploaded on 02/27/2010.

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561_hmk1 - a Find the energy spectral density of x(t b Find...

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