# Category: signal processing and linear systems

# Find and compare the first-null bandwidth of the three triangular pulses shown in Figure P6.12. What general conclusions can be drawn from the time–bandwidth relationship of these signals?

Find and compare the first-null bandwidth of the three triangular pulses shown in Figure P6.12. What general conclusions can be drawn from the time–bandwidth relationship of these signals?

# Design a high-pass Butterworth filter with a lower half-power frequency of 1 kHz by modifying the circuit of Figure 6.12(a).

Design a high-pass Butterworth filter with a lower half-power frequency of 10 kHz by modifying the circuit of Figure 6.12(a).

# You are given an input signal x(t), which is plotted in Figure P6.13. You are given two different filters: One is a low-pass filter and one is a high-pass filter. The input signal x(t) is filtered with each of these two filters, and the two outputs are also plotted in Figure P6.13. (a) Is Filter A a low-pass or high-pass filter? Explain your answer. (b) Is Filter B a low-pass or high-pass filter? Explain your answer.

# Draw the Direct Form II realization of an LTI system described by

Draw the Direct Form II realization of an LTI system described by:

# Please find the zero-input response )( 0 ty of the following systems, if the initial conditions arey0 (0) = 1, and Dy0 (0) = −1.

ECE/355: Signals and Systems Homework #3 Due day: 02/25/2019 1. Please find the zero-input response ( ) 0 y t of the following systems, if the initial conditions arey0 (0) = 1, and Dy0 (0) = −1. 1). ( 7 10) ( ) ( ) 2 2 D D y t D x … Continue reading Please find the zero-input response )( 0 ty of the following systems, if the initial conditions arey0 (0) = 1, and Dy0 (0) = −1.

# 2. Show if the following signals are an energy signal, a power signal or neither an energy nor a power signal (Find the energy or power if applicable).

# Find x(t) for the following signal as shown in the figure assume w0= π

Find x(t) for the following signal as shown in the figure assume w0= π

# Find the DTFT of x[n] = 2δ[4 − 2n]

Find the dtft of x[n] = 2δ[4 − 2n]