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a.) Plot x[n] as a function of n and use the definition of the z - transform to find x[z]. b.) Use the z - transform of u[n] and properties of the z - transform to find x[z]. Verify that the express
Inverse Z-transform and poles and zeros. When finding the inverse Z-transform of functions with z-1 terms in the numerator, the fact that z-1 can be thought of as a delay operator can be used to sim
Consider the inverse relation given by z=eSTs - that is, how to map the z-plane into the s-plane. a.) Find an expression for s in terms of z from the relation z = STs. b.) Consider the mapping of the
a.) Determine where the given poles are mapped into the z-plane.b.) How would you determine if these poles are mapped inside, on, or outside the unit circle in the z-plane. Explain.
How can one determine whether a given signal is real-valued or complex valued from the Fourier series coefficients 1) A signal with a fundamental period of 12, and a5=1, a6=1 (rest are zeros)
Given one has frequency response of a system (magnitude and phase), and a sine wave of a given frequency and phase is input, explain how to find the output.
which electrical meters are self-powered from an internal source such as a battery, and which meters draw their power frm the circuit to which they are attached
Sometimes the partial fraction expansion is not neede in finding the inverse Z-transform -instead the properties of the transform can be used. Consider the function F(z)= (z+1)/z^2*(z-1)
When no real time processing is needed the system can be noncausal. Consider the case of averaging an input signal x(n) uner real time conditions. suppose you are given two different filters y{n}= 1
Supposed that the signal y(t) is low -pass filtered. The magnitud od the low pass filter is unity and the cut off frequency is Rz= 5000*pi rad/sec. Determine the value of the sampling period Ts acco
Consider an analog periodic sinusoid x(t) = cos (3*pi*t + pi/4) being sampled using a sampling period Ts to obtain the discrete time signal x[n] = x(t)I t=nTs = cos (3*pi*t + pi/4). a.) Determine th
The film is developed with an overall gamma of 2, reinserted in the position of the film during recording and reconstructed using the same point source as that used to construct the hologram. Using
desgin an 8-bit 2' complementer using sequentail circuit . you may use one register to store the data to be complemented, one register to store the complemented data, one half adder and one D-flip f
Design a circuit using the transistors and other components used during the semester which provides at least 15 dB of gain. The 3dB filter points should be 100 HZ and 25 KHZ. Assume 110 Volt (AC) po
The effective water head for a 100 MW station is 220 metres. The station supplies full loadfor 12 hours a day. If the overall efficiency of the station is 86.4%,find the volume of water used.
An hydro-electric station has a turbine of efficiency 86% and a generator of efficiency 92%. The effecitive head of water is 150 m. Calculate the volume of water used when delivering a load of 40 MW
Find the amount of electrical energy exdpended in raising the temperature of 45 litres of water by 75°C. To what height could a weight of 5 tonnes be raised with the expenditure of the same ener
A 22.5 ohm resistor is connected across a 15 V battery. What value resistor should be used to generate the same amount of heat if the power source is 283 Vp-p at 60 Hz
A time -varying capacitor is characterized by the charge-voltage equation. That is, the capacitance is not a constant but a function of time. Given that i(t) =dq(t)/dt, find the voltage-current rela
Calculate the circumfrential and longitudinal stresses in the plates when the internal pressure is 800KN/m sq. If the ultimate tensile stress of the material used is 600 MN/m sq, and the efficiency
Explain charge sharing in dynamic circuits. For a 3-input dynamic NAND gate, discuss charge sharing, and explain the design requirements under which the gate operates correctly in the presence of ch
Using bit-slicing technique, design a circuit that calculates the expression 2*a-b. Operands a, and b are each 4 bits long. The result is represented using 5 bits. Show the transistor-level design u
Assume that a stuck-at-1 fault occurs at the output of the circuit ((A+B)(B+C))'. Determine the test pattern that detects the fault. Repeat for a stuck-at-0 fault at the output.
A sequential circuit has one input X, and two outputs Z1 and Z2. The outputs represent the number of 0's that have3 appeared in the last three inputs. For example, X:0110111100001011 Z1:000000000111
a coaxial cable can carry signals in the range 50mhz to 450mhz. The bandwidth of cable is divided into a numbe of sub-channels each occupying with the guard band, 40mhz of bandwidth. In each channel