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A certain signal is modeled by a continuous Gaussian random process X(t) with mean E {X(i)} = 2 and autocorrelation function R(t, r) = 4 + e-0.5|r|. Compute the covariance function C(t, r). Compute the variance of X(t). Write the PDF for a single sample X(t0). Write the joint PDF for two samples X(t 1) and X(t0) for t1 = 7 and t0 = 3.
(a) What is the condition for matrix A to have inverse Discuss this in terms of rank, determinant, linear dependence of rows and columns of matrix A, singular or non-singular. (b) Show that if A has inverse then AT also has inverse
A purely inductive load of 10 ohms is connected to an ac source of 120 V (rms) through a half wave SCR circuit. a. If the SCR is triggered at 90 degrees, calculate the angle at the maximum instantaneous current.
what are the different methods used in frequency response analysis
Convert both numbers to 4-bit values, take the 2's complement of 9 and add them. What happens to the carry out How does that compare with what happens when you subtract 8 from 9
How would you develop a looping program in MIPS that will take a series of decimal numbers and arrange them in ascending order from smallest to largest. The sequence of nine numbers are: 5, 3, 8, 9, 2, 4, 1, 7, 6, 3, 8
Write down the expression for the frequency-dependent open-loop gain of an operational amplifier. Sketch the magnitude of the open-loop gain of an operational amplifier as a function of frequency. Explain what is meant by a `single-lag' response o..
On a spacecraft two engines fire for a time of 541 s. One gives the craft an acceleration in the x direction of ax = 4.90 m/s2, while the other produces an acceleration in the y direction of ay = 7.60 m/s2.
Write a Matlab program to calculate the electric field due to a line of charge of length 1m. a) Describe the line of charge as a collection of point charges centered on the z-axis. Calculate the electric scalar potential of that same line of charge.
A lossy resonator consisting of a series connected RLC circuit is attached to a voltage source Vs=Vo(e^(jpi/3)) a) Develop the voltage loop equation in terms of current i(t), R, L, C, and vs b) Find the corresponding phasor equation
Consider an AlGaAs based heterostructure laser diode which has an optical cavity of length 200 microns. The peak radiation is at 870 nm and the refractive index of GaAs is about 3.7. What is the mode integer m of the peak radiation
An address decoder in a 68000-based microprocessor system selects a memory device when the address lines A23, A22, A21, A20, A19, A18 = 1, 0, 0, 1, 1, 0. What is the size of the memory block decoded and what range of addresses does it span
The input analog signal is bandlimited to 3900 Hz. The overall frequency response is required to satisfy the following: Gain > -1.33 dB for frequencies less than 1, 333.33 Hz Gain
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