Notes The Units Of The Time Variable R And Angular Frequency O In This Ira Are In Seconds And Rad Second Respectiv 1 (40.98 KiB) Viewed 43 times
Notes The Units Of The Time Variable R And Angular Frequency O In This Ira Are In Seconds And Rad Second Respectiv 2 (19.86 KiB) Viewed 43 times
Notes: The units of the time variable "r" and angular frequency "o" in this IRA are in seconds and rad/second, respectively. IRA#6_1. An ideal highpass filter has a cutoff angular frequencies of 5 rad/sec and a passband gain of 1 (i.e. frequency response in the passband is one). If this filter is used to filter the input signal x(t)=2cos(31)-3sin(4t), then the output of the filter is Answer: (a) 2cos(31) (b) 3sin(4t) (c) 2cos(3t) - 3sin(4t) (d) 0 (e) none of the above IRA#6_2. A system has a frequency response given by H(o)--Srect(co/2). If the spectrum of the input signal of the system is 2rect(co/4), then the output signal will have the following amplitude spectrum: Answer: (a) 2rect(0/2) (b)-Srect(w/4) (c) 10rect(co/2) (d) 10rect(co/4) (e) -10rect(co/2) Answer: IRA#6 3. Given a sampling frequency of 500 Hz, determine the maximum bandwidth of the signal that can be sampled without causing aliasing. (a) 1000 Hz (b) 500 Hz (c) 250 Hz (d) 1000 Hz (e) 500 Hz
RAM 4 The amplitude spectrum of the signal 00 is shown as follows: 13001 -400 -200 Determine the Nyquist rate to samplex(1) (a) 200 Hz Hz Answer. (b) 300 (c) 400 Hz (d) 600 He (e) 800 Hz Answer: 0 200 (a) the frequency of x(t) must be 213 Hz (b) the frequency of x(1) must be 500 Hz (c) the frequency of x(t) must be 1 kHz (d) the frequency of x(1) must be 2 kHz (e) none of the above 400 IRA#6 5. The signal x(1) is sampled with a sampling frequency lower than the Nyquist rate to obtain x[n]-cos(213mm/500). If the sampling frequency is 1 kHz, then (H)
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