|1. Consider the systems given by the following input-output relationships. In each case, determine whether the system in question is causal, linear, and/or time-invariant. If it is LTI, write an equation for its impulse response sequence h[] y[n] = cos(2¬n ·x[n+ 1]) y[n] = x[n] + x[-n] • y[n] = x[n] + E%=∞ cos((k – n)n/3)x[k]

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1. Consider the systems given by the following input-output relationships. In each case,
determine whether the system in question is causal, linear, and/or time-invariant. If it is LTI, write
an equation for its impulse response sequence h[:]
• y[n] = cos(2-n . x[n + 1])
• y[n] = x[n] + x[=n]
%3D
y[n] = x[n] + £k=-∞
n-5
cos((k – n)t/3)x[k]
Transcribed Image Text:1. Consider the systems given by the following input-output relationships. In each case, determine whether the system in question is causal, linear, and/or time-invariant. If it is LTI, write an equation for its impulse response sequence h[:] • y[n] = cos(2-n . x[n + 1]) • y[n] = x[n] + x[=n] %3D y[n] = x[n] + £k=-∞ n-5 cos((k – n)t/3)x[k]
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