Draw the direct form flow graph implementation for filter

Assignment Help Electrical Engineering

Reference no: EM131140558

In this problem, we consider the implementation of a causal filter with system function

This system is to be implemented with (B + 1)-bit two's-complement rounding arithmetic with products rounded before additions are performed. The input to the system is a zeromean, white, wide-sense stationary random process, with values uniformly distributed between -xmax and +xmax.

(a) Draw the direct form flow graph implementation for the filter, with all coefficient multipliers rounded to the nearest tenth.

(b) Draw a flow graph implementation of this system as a cascade of two 1st-order systems, with all coefficient multipliers rounded to the nearest tenth.

(d) To prevent overflow at the output node, we must carefully choose the parameter xmax. For the implementation selected in part (c), determine a value for xmax that guarantees the output will stay between -1 and 1. (Ignore any potential overflow at nodes other than the output.)

(e) Redraw the flow graph selected in part (c), this time including linearized noise models representing quantization round-off error.

(f) Whether you chose the direct form or cascade implementation for part (c), there is still at least one more design alternative:

(i) If you chose the direct form, you could also use a transposed direct form.

(ii) If you chose the cascade form, you could implement the smaller pole first or the larger pole first. For the system chosen in part (c), which alternative (if any) has lower output quantization noise power? Note you do not need to explicitly calculate the total output quantization noise power, but you must justify your answer with some analysis.

Reference no: EM131140558

Questions Cloud

What question does your paper set out to answer : Introduce the research question and topic. What question does your paper set out to answer? Elaborate: why is the question important and on what problems or debates can it shed light? (1/2-1 page).

How did or does this law influence public education : EDUL 8115 Education Policy and Ethics. Why was the law written and or needed? Who was the law written for? Who is included in the parameters of the law? In your opinion is the law doing what it was intended to do

Generalized linear-phase lowpass filter : If we decide to design a highpass filter using this transformation and we wish the resulting highpass filter to be symmetric, which of the four types of generalized linear-phase FIR filters can we use for the design of the lowpass filter? Your ans..

Discuss transportation planning issue within your community : Discuss a transportation planning issue within your community by addressing community practices in regard to urban planning and growth.

Draw the direct form flow graph implementation for filter : Redraw the flow graph selected in part (c), this time including linearized noise models representing quantization round-off error.

Why is it important that the problem be addressed : Why is it important that the problem be addressed? Who is impacted internally and externally? Why do you feel the problem hasn't already been solved?

Formulate a preemptive goal programming model : The new president has just been elected and has set the following economic goals - Formulate a preemptive goal programming model to help the president meet his goals.

What are reasons people participate in politics : What are reasons people participate in politics? The set of beliefs and values as a whole forming a person's beliefs about what government should be like is called

How are the costs applicable to the unsold units reported : Assume that the 100,000 tons of ore were mined, but only 80,000 units were sold. How are the costs applicable to the 20,000 unsold units reported?

User Account

All Pages