Each of the following figures shows the impulse response of a LTI system h[n]. For each figure in (a), (b), (c) and (d): (i) Firstly write an expression of h[n] and then find an expression of the frequency response of the system: H(ew) = h[n]e-jnw, (ii) say whether H(e) as a function of w is even or odd or neither (iii) and sketch/plot the magnitude of the frequency response, i.e., |H(e³w)|, over - 27 < w 2π (you may use Matlab). (a) In each figure, the value indicated for each impulse means the amplitude of that impulse. For example, if the value of an impulse at n = 3 is indicated to be 2j, it means 2jd[n - 3]. The value of h[n] is zero for all n outside the range shown in the figure. h[n] n=-∞ 1 1 1 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 n h[n] is real-valued.

Each of the following figures shows the impulse response of a LTI system h[n]. For each figure in (a), (b), (c) and (d): (i) Firstly write an expression of h[n] and then find an expression of the frequency response of the system: H(ew) = h[n]e-jnw, (ii) say whether H(e) as a function of w is even or odd or neither (iii) and sketch/plot the magnitude of the frequency response, i.e., |H(e³w)|, over - 27 < w 2π (you may use Matlab). (a) In each figure, the value indicated for each impulse means the amplitude of that impulse. For example, if the value of an impulse at n = 3 is indicated to be 2j, it means 2jd[n - 3]. The value of h[n] is zero for all n outside the range shown in the figure. h[n] n=-∞ 1 1 1 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 n h[n] is real-valued.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Similar questions

O d. FM demodulator Choose the correct statement(s) that describe the diagram below. - x,(1) Bandpass filter Envelope detector Limiter Differentiator Select one or more: a. FM Demodulator b. Narrowband to wideband conversion OC. PM Demodulator Od. Linear PLL model e. FM Discriminator with bandpass limiter A third-order PLL can track a frequency-ramp with zero steady-state nhase error
When analyzing a second order system we may wish to determine the step response and/or the frequency response. Match the measured parameter to the appropriate response.
3. a) b) Write a short note on Nyquist Rate. Calculate the Nyquist rate in rad/sec and in Hz for, m(t) = 2 sinАnt · cosВnt
Ex. 600. A series circuit containing a resitor (6 Ohms), a capacitor (4 Farads), inductor (13 Henries), and a voltage source V. Determine the transfer function I(s)/V(s) and then determine the undamped natural frequency (Wn) and damping ratio (zeta). Answers: Wn, and zeta. ans:2
A step-up chopper has input voltage of 220v and o/pvoltage of 660v. If the non-conducting time of the thyristorchopper is 100μs compute the pulse width of the outputvoltage . If the pulse width is halved for constant frequencyoperation Find the new output voltage and chopper frequency
A continuous-time signal is composed of in-phase sinusoids with periods of 1 ms, 2 ms, and 4 ms. Determine the maximum sampling period allowed to avoid aliasing. O a. 0.4 ms O b. 0.5 ms O c. 0.2 ms O d. 0.1 ms O e. 0.8 ms Of. 1.0 ms
1. Specify the Nyquist rate and the Nyquist interval for each of the following signals: (a) g(t) = sin(100nt) (b) g(t) = sin²(100nt) (c) g(t) = sin(100nt) + sin² (100nt)
Given the discrete time signal x[n] = cos((πn)/3) what are two different contiuous time signals that would produce the sequence when the sample frequency is 120Hz. Choose one on the image below
Determine the power of the following discrete time signal x[n]=2ej3n.
1. Suppose you have multiple sinusoidal signal sources with four different frequencies where fj-4, f;=3, fz=2, f4=1 and their amplitudes Aj=A2=A3=A4=1. Together these signals form the message (modulating) signal (as shown in the figure below). Now, create a MATLAB program using built-in functions to generate the DSB Amplitude Modulated signal, and then recover the original signal (generate the Demodulated signal) from the modulated signals for time 0
Q.4: Choose the suitable choice for the following sentences. 1. At any resonant circuit the input impedance is ....... a. XL. b. RT. c. XC. 2. The locus of inductive load is a vector in the …... quadrant. a. 4th. b. 2nd. c. 3rd. 3. For non-sinusoidal input signal, the power dissipated in a resistance is equal to ............ a. 2I2R. b. Iav2R. c. Ieff2R. 4. Applying Kirchhoff's laws to RL & RC transient circuits produces Equations of type:a. Time-Depend. b. Time-Variable. c. Differential. 5. The Differential Equations applied RL & RC transient circuits are:a. Third-order b. Second-order c. First-order 6. Electrical energy is stored in ........ a. Inductance. b. Capacitance. c. Both-of-them. 7. .......... is obtained in parallel resonance circuit. a. Vmax. b. Imax. c. Pmax. 8. The total impedance angle is ............ on the frequency of the harmonic.a. Dependent. b. Independent. c. Both-of-them. 9. In transient circuit, the capacitor behaves as ................ when the switch…
A circuit contains a capacitor with C-20.0 uF connected to an AC source operating at an amplitude of 36.0 V and frequency f-60.0 Hz. a) Gives the expression of the voltage across the capacitor vc(t) and the current i(t) in the circuit. b) We want to add a resistor and an inductor is series to the capacitor to make a resonant circuit. Whic values of resistance and inductance should be selected ?