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Question 1: Determine the z-transform of the following signals and determine the ROC.
a. x(n) = 1/2nu(n - 3) + (0.9)n-3u(n)b. y(n) = cos(an)/n.u(n)
Question 2. Determine the causal signal x(n) if its z-transform X(z) is given by:
X(z) = z(z - e-βcosβ)/z2(z - 2ze-βcosβ + e-2β)
Question 3. Given the block diagram of the system belowa. Determine the impulse response, assume a causal system.b. Is the system stable? Why? Why not?
Question 4. Given the response of an LTI system to an input x(n) = 1/2n u(n) is the output {0,0,1}= (δ(n - 2). Compute the response of the system y(n) to the input 2cos (Π/3n), that is determine the response y(n). Compute the impulse response h(n).
Question 5. The LTI system is described by the block diagram given a. Determine the Input / Output equationb. Determine the system function H(z).c. Sketch the pole-zero diagram of the system.
Construct a state graph chart for the tape player controller. You may assume that only one of the four buttons can be pressed at any given time.
Three capacitors of 5, 10, and 15 microfarads are connected in series. Potential difference across the capacitor network is 25v
write a C program to toggle both PA4 and PA7 of PORTA ON and OFF, with a 1-ms delay after each toggle. Assume that clock frequency is 6.25 MHz. Write inline assembly-language code inside of the delay function.
There is a 50 Mhz clock signal on the FPGA board. we want to have a 1 Hz signal for testing all the designs. Find out what size of the counter we need in order to obtain this signal from the on board clock.
a) Evaluate % overshoot, settling time and peak time if a=4 and b=25 b) Calculate values of a&b so imaginary part of poles remains same but real part increased by 2 times
Suppose the field to be imaged contains 3 parallel bars of width W mm, spread nonuniformly, with the darkness profile. Determine the darkness profile of the bars after imaging. Can you still tell all the bars apart
Consider a 32-bit RC adder unit in which internal carry signals aregenerated using CMOS technology with as few transistors aspossible. Assume that each sum bit is connected to the S input ofthe corresponding gated SR latch.
Two capacitors labeled A and B are connected in series. They have the same charge but A has twice the voltage across it than B has. Which capacitor has the greatest capacitance
Operation of NPN Bipolar Transistor : a. Describe the operation of a typical NPN bipolar junction transistor used both as an amplifier and a switch. b. List the 4 regions of operation and draw I-V characteristic curve.
The toroid is wound with a 1200 turn coil and carries a flux of 0.48 mWb. If, under these conditions, the relative permeability of the toroid is 800, calculate the coil current required.
design a stable optical cavity using one mirror with infinite radius of curvature and 95% reflectivity. We want the cavity to 1 m long. Assume the second mirror is 100% reflective. a. Design the cavity such that g1g2 product is 0.5
Memory components in some implementation fabrics can operate in this way.
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