## Which of these returned numbers are guaranteed to be purely real?

Sample the bandlimited periodic signal, x(t) = 8 cos(50πt) − 12 sin(80πt) at exactly its Nyquist rate over exactly one period of x(t). Find the DFT of those samples. From the DFT find the CTFS. Graph the CTFS representation of the signal that results and compare it with x(t). Explain any differences. Repeat for a sampling rate of twice the Nyquist rate. 68. An arbitrary real-valued signal is sampled 32 times to form a set of numbers, {x[0], x[1], ··· , x[31]}. These are fed into an fft algorithm on a computer and it returns the set of numbers, {X[0], X[1], ···, X[31]}. Which of these returned numbers are guaranteed to be purely real?

### Calculate the maximum achievable bridge out-of-balance voltage for an applied torque T of 103 N m given the following

Four strain gauges, with specification given below, are available to measure the torque on a cylindrical shaft 4 cm in diameter connecting a motor and load. (a) Draw clearly labelled….

### Find the gain and phase characteristics of the maintaining amplifier.

A solid-state capacitive humidity sensor has a capacitance given by: C = 1.7 RH + 365pF where RH is the percentage relative humidity. The sensor has an associated parallel resistance….

### calculate the mean velocity of the gas at maximum flow rate

A pitot tube is used to measure the mean velocity of high pressure gas in a 0.15 m diameter pipe. At maximum flow rate the mean pitot differential pressure is….