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Problem 1:
a. Let an be a real random sequence. The value of an is 1 or -1 of equal probability. What are E(an) and E(anam)? Briefly prove your results.
b. Let an be a real random sequence. The value of h is 1 or -1 of equal probability. What are the mean and variance of n∑n-1a. ? Briefly prove your results.
n -1
Problem 2: Walsh Code
Find 16 Walsh codes for modulating (encoding) a 4-bit data packet
Problem 3.
Design a m-seguence PN generator using 3 shift registers. Show design procedure. circuit and PN sequence.
Efficiency in a power transformer is 98.6 percent when loaded such that its copper losses are five times its core losses. Calculate the per unit resistance of this transformer.
An embedded system consumes the following current when in different operating modes: Operating Mode Avg. Current Time Data Acquisition 4.2 mA 1.8 ms Communication 22.6 mA 2.5 ms Sleep Mode 0.5A 5 hours
120V, 60 Hz source is connected to a distribution line whose resistance, and inductive reactances are 0.1Ohm, j0.2 Ohm, respectively. Single phase, 2HP, 120V, 0.75 lagging pf. motor and 2.4Kw, 120V heater is connected in parallel.
Cross-section of a coaxial cable:he radii of two concentric conductor is a and b respectively. In between, it is filled with an ideal dielectric with a permittivity e. Assume the charge in the inner conductor is Q Coulomb/meter.
A 200 nm oxide film is deposited on a 500 m thick bare silicon wafer that has a radius of curvature of 300 m. After deposition, the radius is measured to be 200 m. A 600 nm nitride film is now deposited on the oxide
Design a 4-bit decrementer using Half-adders and inverters as building blocks. The circuits impleents A-1=S. Draw the circuit diagram. Hint: consider addtion of the 2s complement of -1 =1111. Begin with a 4-bit adder circuit constructed with 1-bit..
what would the relative sensitivity of the IR detector be if you use FREQOUT to send a 35 kHz harmonic? What is the relative sensitivity with a 36 kHz harmonic?
A loop of current is placed in the xy plane in a uniform magnetic field in the positive x direction. If the current in the loop is in the clockwise direction, what is the direction of the torque on the loop
The following functions describe the oscillations in electric circuits and the vibrations of machines and structures. Plot these functions on the same plot. Because they are similar decide how best to plot and label them to avoid confusion.
Consider a VBE multiplier with R1=R2= 1.2k ohms utilizing a transistor that has VBE= 0.6V at Ic = 1ma, and a very high beta. (b) Find the value of the current I that will result in the terminal voltage changing (from the terminal voltage 1.2-v val..
how to determine the sensitivity of junction depth to changes in furnace temperature by calculating (dxj/xj)/(dT/T) for a drive diffusion.
What is the maximum output resistance that the source follower must have if the output voltage is to remain within + or - 20% of nominal value. If the MOSFET has kn = 16 mA/V^2, at what current ID must it be biased.
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