5- A discrete-time WSS random process X[n] is defined by the difference equation X[n] = 0.5X[n 1] + U[n] -0.5U[n 1], where U[n] is a discrete-time white noise random process with variance of = 1. Find the ACS and PSD of X[n] and explain about the type of random process X[n].

An asynchronous circuit has two SR latches (not edge-triggered FF) denoted SR1 and SR2, and two external inputs x1 and x2. It also has a single output z. The excitation expressions for the inputs and output equations are (see image). Using the characteristic equation for an SR latch, draw the excitation table. Then draw the state table, flow table, and flow diagram.

A signal contains frequency components up to, but excluding, 8 kHz. What is the minimum sampling rate for time-discretising the signal, so it can be perfectly recovered in its continuous form?   The time-discretised signal is to be quantised as well. If its peak-to-peak voltage is 2.5 V, and a difference between quantised levels is to be at most 10 mV, what is the minimum number of bits for the corresponding ADC?   If the ADC operates at the sampling rate from part (a) and the number of bits from part (b), what is the resulting bit rate for the signal transmission?   If the original signal is first DSBSC-modulated using a 200 kHz sine wave carrier, what is the minimum sampling rate for the modulated signal, so that the original continuous-time signal can be perfectly recovered?

6. A university wants to establish a control system model that represents the student population as an output, with the desired student population as an input. The administration determines the rate of admissions by comparing the current and desired student populations. The admissions office then uses this rate to admit students. Draw a functional block diagram showing the administration and the admis- sions office as blocks of the system. Also show the following signals: the desired student population, the actual student population, the desired student rate as determined by the administration, the actual student rate as generated by the admissions office, the dropout rate, and the net rate of influx. [Section

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The plot below shows a sampled continuous signal, with red dots indicating sample points. Determine if the signal has been sampled appropriately, so as to avoid aliasing. For the case where the signal has not been sampled appropriately determine the aliased frequency and enter the result in the answer field below (enter a numerical value only +- 5% tolerance). For the case where the signal has been sampled sufficiently enter the sampling frequency. Amplitude 30 20 10 0 -10 -20 -30 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 Time (seconds)

12:57 Homework4 S24_7d8b7544e16a0... Homework #4 - Multi segment displays, Adders, Negative Numbers Name Done Please attempt all problems below. Half of your grade for this assignment will be based on completion of all problems, the other half of the grade will be based on your score on 2 randomly selected problems. 1. Assuming each 8-segment display below has its own A - H signal lines and these signals are stored in the FPGA as 8-bit binary numbers arranged in the order (ABCDEFGH)2 a. Below you will find 3 displays each with a hex value directly above. Assuming the displays are connected in Common Cathode. Shade the LEDs that will be lit for each display. (8C)16 (9C)16 (BC)16 b. Repeat the process described in 1.a on the 7-segment display below. Assuming Common Anode and ignore the colon. (41)16 (01)16 (00)16 2. Compute the following in the base shown and in base 10. (Assume unsigned notation) a. (F4)16+ (E6)16 b. (1011 0101)2 + (0111 111012 0.

Problem Consider an analog signal (t) = 6cos4000mt-8cos1000mt 1. Find the munimin sampling rate required to avoid aliasing 2. What is the Nyquist rate for this signal? 3. Using a sampling rate F, = 400 samples/s. What is the discrete-time signal obtamed after sampling?

In signal processing   1.what are the singularity problem of CMA algorithm 2. Why such singularity problem induced by using CMA  3.how to prevent the problem It would be appreciated if you can answer in handwritten notes. Please don't direct copied from the internet, I need explanation, thank you

Consider a continuous-time signal x(t) = cos(20nt). The signal is uniformly sampled with sampling frequency ws = 80. a. What is the resulting discrete sequence x[n] = x(nTs) from the sampling process? What is the fundamental period N of x[n]? b. Does the given sampling frequency cause aliasing? Why/why not?