Signals and systems
Q1
A signal
signals and systems (power and energy signals) Q) Prove that the power of an energy signal is zero over infinite time. Also, prove that the energy of a power signal is infinite over infinite time.
Signals and Systems ҳL+) 0-1 3 Consider the XLt) signal, Draw the following signals in detalle N 1 G o 1 a) X(t-1) 3 2 b b) [xlt) + x(-1)] Ult) c) X(t) [S(t+Ž) -8(+-+]
3. Sketch stuff (by hand or by computer) 3.1 Systems signals The signal x()-sin^t), for 0stsl; is applied to a circuit with an impulse response given by h(t)-2, for Osts1. Sketch these signals and the output of the circuit If the input signal is now set to x()-6(t-3), sketch the input and output signals. (3.2)
Signals and Systems Nyquist Rate of signal is? X(t) = sin( 500 TT4) Sin caso trd) Tit + cos² (1000it) sin (400 T7E) Tt
signal and systems 3.11. For each of the following signals, compute the complex exponential Fourier series by using trigonometric identities, and then sketch the amplitude and phase spectra for all values of k , (a) x(t) = cos(51-7r/4) (b) x(1) sin! + cos[
SIGNALS AND SYSTEMS: Part (b) and (c) 1.25 Full-wave rectified signal-Consider the full-wave rectified signal ,(t) = I sin(rt)! finite-power P.. Find it (b) It is always useful to get a quick estimate of the power of a periodic signal by finding a bound for the signal squared. Find a bound for ly(t)2 and show that P,1 (c) Use symbolic MATLAB to check if the full-wave rectified signal has finite power and if that value coincides with the Py you...
Signals and Systems. Discrete Time Fourier Transorm 2. Use the properties of the DTFT to determine the signal which has DTF1T 2. Use the properties of the DTFT to determine the signal which has DTF1T
signal and systems 9. Consider the convolution of two of the following signals : | att) ht) le(n) 力。 2.5 1015年9 L. -3-2-10 2-1012 (5 points cach). a. Determine the convolution of act) and (t) : x(t)= a(t) * b(t). b. Determine the convolution of c(n) and dén): y(n)= e(n) * dín). c. Give the MATLAB code for the convolution of e(n) and dín).
signal & system cours Signals and Systeme Q2 b) Given two signals x1(n)=[-1 2 0 -2 l) and x3[n] = [5 -4 0 4 -51 (5 Marks) Prove that sum of two signals is an odd signal. Prove that the product of two signals is an even signal. 1) 1 Signals and Systems Q5 b) How can you derive the Discrete-Time Fourier transform from the z-transform? (5 marks)
Signal system question. EEGR 221 Signals and Systems Homework 3 Determine whether the following systems are (i) Memoryless (ii) Invertible (ii) Casual (iv) Stable (v) Time invariant (vi) Linear (a) y(t)-5x(2t +4) (b) y(t)-7 x(2t 1) +3 (c) y(t)e4x(c) (d) y(t)-sin (x(t + 1)) (e) y(t) x(t)l (1) y() log(x(t)) Your answer must have 3 components for each property 1) Definition of the property 2) Yes or NO 3) Justification and the test that you have done to give the...