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1. We wish to extract tones at 50 and 100 Hz from tones at 1000 and 1100 Hz and then downsample the output by the largest possible factor. Assume the signal containing the four tones is sampled at 16 kHz. Use a Kaiser window FIR filter with a passband from 0 to 150Hz (1 dB down at band edge) and attenuation > 60 dB at 250 Hz. Implement the filter, downsample the output, and examine the output spectrum to ensure that it meets specifications. Now reimplement the filtering and downsampling with a single polyphase downsampling filter.
Compare the number of operations required for the original FIR implementation and the downsampling implementation.
2. Upsample the output of the downsampling filter of Question 1 back to the original 16 kHz sampling rate by designing an appropriate upsampling filter using zero packing and low-pass filtering. Then reimplement as a polyphase upsampling filter. Check the output of the polyphase upsampler against the filtered zero-packed output to show they are the same. Compare the number of operations required for the original single-rate FIR implementation from Q1 and the polyphase downsampling/upsampling implementation in this question.
3. Without incurring additional computation, modify the polyphase upsampling filter to frequency shift the data by heterodyning with a 2 kHz carrier. That is the tones at 50, and 100 Hz will now be placed at 1900, 1950, 2050, and 2100 Hz.
The configuration is shown in Figure 6.5. Use six LEDs as shown in Table 6.1 to represent the outputs. The Time in This State can be met in several ways. One method is to use a debounced switch as input, another to input a 1 Hz clock.
Given that KG =.0894, w=15.4, φ=-125 degrees and G(s) = [520(s+2)]/[s2(s+30)] design a compensator that gives a PM of 90 degrees and does not change the open loop bandwidth.
A delay function should be created such that each time a new value is to be displayed on the oscilloscope it is followed by the determined time delay such that all data is output via the port at a rate of 2Khz. Change the time delay such that the ..
Determine the range of K that will make this unity feedback system stable using Routh-Hurwitz criterion and determine its gain margin and phase margin.
Compare the three rectifier ( half wave, full wave and bridge rectifier) to design a 20 V supply with 1V ripple for a 1Kiloohms load. In the comparison look for the filter capacitor, transformer turn ratio n and the PIV of the diodes.
(a) Give the Boolean function Y . (b) Sketch a PDN directly from the expression for Y. Note that it requires 12 transistors in addition to those in the inverters (c) From inspection of the PDN circuit, reduce the number of transistors to 10
The Problem: An Electric Heater is connected to a constant 250-V source and absorbs 1000 W. Subsequently, this heater is connected to a constant 210 V source.
We have four 3-H inductances. What is the maximum inductance that can be obtained by connecting all of the inductances in series and/or parallel What is the minimum inductance
A 3-phase cage rotor induction motor has a full load slip at 5% . The standstill current at rated voltage is 6.5 times full load current . Find autotransformer tapping to give full load torque at starting and also find the line current at starting..
Consider a communication strategy over the AWGN channel where for a fraction of time α, a capacity-achieving code at power level P1 is used, and for the rest of the time a capacity-achieving code at power level P2 is used
A 2400-115 V transformer has a sinusoidal flux expressed by φ =0.113 sin 188.5t. Determine the primary and secondary turns.
(1) If the frequency was changed, what would happen to the current in a circuit Explain increase or decrease. (2) If you have R = 2 K ohm, Xc = 3 K ohm, XI = 4 K ohm . Find the G, Bc, BI, Yt anf Zt.
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