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Let x(n) be the input signal to a discrete-time filter withimpulse response hi(n) and let yi(n) be the corresponding output.x(n) = {1,4,2,3,5,3,3,4,5,7,6,9}h1(n) = {1,1}h2(n) = {1,2,1}h3(n) = {1/2 ,1/2}h4(n) = {1/4, 1/2, 1/4}These sequences are written such that the first value islocated at instant n=0.(a) Plot x(n) and y1(n).(b) Show that y2(n), y3(n) andy4(n) can be obtained from y1(n)
a 60-kHz sinusoidal signal is applied to an amplifier with a gain of k=2. the circuit is built with an lm741 opamp with power supplies +-13V. find the largest amplitude the signal may have before it is limited by slew rate constraints.
Design a BJT mixer with conversion gain of 10dB for an IF load of 1 kohm and a LO amplitude of 10 mV. The RF frequency should be 707 KHz and the IF frequency should be 455 KHz. Hint: calculate the bias components for a VCC of 9 V
The length of GaAs laser resonator is L = 165 um; the width and the thickness are W = 10 um and d = 0.1 um. Find the photon round-trip time in this resonator. The refractive index of GaAs is 3.7.
Experience has shown that about 6 out of 100 cultures are randomly spoiled by the bacteria. If the research requires 3 simultaneously derived unspoiled data points for success, find the probability for any given set of 12 cultures (3 data points o..
A certain lossless transmission line is terminated in a normalized load impedance of ZL,n = 0.5 j2 ohms. Use a Smith Chart to determine the answers to the following questions. Mark the position of the load impedance on the chart and label it ZL.
Now, we want to build a circuit that counts the number of 1s in a 6-bit unsigned numbers using full and half adder circuits as building blocks. Design the simplest circuit that can accomplish this task.
find the voltage E and the current Ir and IL in phasor form
A CB amplifier is operating with RL = 10kΩ, Rc = 10kΩ, and Rsig =100Ω. At what current Ic should the transistor be biased for the input resistance Rin to equal that of the signal source. What is the resulting overall voltage gain. Assume α ≈ 1
An optical signal from a modulator can be sent to multiple channels by the LCSLM. This; however, requires that the beam size from the AM is adjusted to match the size of the SLM area. Assume that both lenses in an AM setup are identical
A rectangular pulse v(t) has a magnitude of 1.0 volts and duration 5 μs. The pulse is multiplied by a sine wave x(t) at a frequency of 2.0 MHz. a. Write down an expression for the spectrum of the signal y(t) = x(t) x v(t).
1. For a triangular waveform, with a peak amplitude of 2V, a width of 10ms, and a period of 10 ms a. Draw the waveform. b. What do you think the average value will be for this waveform. c. Determine the average value - was it wh..
a. A point is equally likely to fall anywhere on the semi-circle defined by the equations, x^2+y^2=1, y>=0. Find the pdf of the y-component of the point's position. b. A point is equally likely to be found anywhere on the surface
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