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(1) Memoryless(2)Time invariant(3) Linear(4) Causal(5)StableDetermine which of these properties hold and which do not hold for each of the following continuous-time systems.Justify your answer. In each example,y(t) denotes the system output and x(t) is the system input.(a) y(t)= x(t-2)+x(2-t) (b) y(t)= (cos(3t))x(t)(c) y(t)=x(t/3)
Design a combinational circuit that compares two 4-bit numbers to check if they are equal. The circuit output is equal to 1 if the two numbers are equal and 0 otherwise.
Let f(a,b) = b' + a. (a) Derive the truth table for f. (b) What is the canonical sum-of-products expression for f? Do not use the shorthand notation. (c) Prove by Boolean algebra that the original expression is the same as the canonical SOP expres..
A series circuit consists of a voltage source and four resistors (R1=1k-ohm; R2=30-ohm; R3=470-ohm; R4=2k-ohm). The resistor of 1k-ohm has a voltage of V1=3V across its terminals. a) Find the current out of the voltage source.
An amplifier with 40 dB of small-signal, open circuit voltage gain, an input resistance of 1M Ohm, and an output resistance of 10 Ohm, drives a load of 100 Ohm. What voltage and power gains (in dB) would you expect with the load connected
A standard 12-V car battery has an ampere-hour rating of 30 Ah, whereas a heavy-duty battery has rating of 51 Ah. Calculate the ratio of available energy and the percentage increase in available current for starting.
Build a home security system circuit using this program. The system must include a door sensor,window sensor, smoke detector, water leak sensor, a motion detector.
You also do not need to consider radiation heat transger in the calculations. However, you should consider how the resuts for the no-fin cases might change if radiation heat transfer is included in the analysis Calculate the circuit board temperat..
The A/D converter has internal memory that can store up to 4x106 discrete samples. What is the maximum number of cycles of a 25 MHz analog sinewave that can be stored in the A/D converter's memory.
The forward-bias current in a GaAs pn-junction at T = 300 K is ID = 15 mA. The reverse-saturation current is IS = 10^-19 A. Determine the required forward-bias diode voltage.
Use the above transfer function and BLT to design a corresponding IIR digital lowpass filter with a cutoff freqency of 15 Hz and a sampling rate of 120 Hz. a. Write the transfer function of the digital filter.
A wire has a resistance of 29.7 . It is melted down, and from the same volume of metal a new wire is made that is 4 times longer than the original wire. What is the resistance of the new wire
a) Express the s-domain impedance of this series combination as a rational function, b) Give the numerical value of the poles and zeros of the impedance and verify your calculation by matlab.
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