Derive an expression for the cross correlation function

Assignment Help Electrical Engineering

Reference no: EM131218852

A white Gaussian noise process is input to two filters with impulse responses, as shown in the accompanying figure. The corresponding outputs respectively.

(a) Derive an expression for the cross-correlation function of the two outputs,

(b) Derive an expression for the cross-spectral density of the two outputs

(c) Under what conditions (on the filters) are the two outputs independent when sampled at the same instants in time? That is, when are Independent for arbitrary t₁ and t₂ Express your constraints in terms of the impulse responses of the filters and also in terms of their transfer functions.

Reference no: EM131218852

Questions Cloud

Find the equilibrium price and quantities for the case : Find the equilibrium price and quantities for the case in which the two taxi companies engage in Cournot (quantity) competition. What profits will Big Ben Taxis and Whitehall Taxis earn.

How this locking algorithm works : Search the Web for "distributed two-phase locking." Find a tutorial on that topic and explain, in general terms, how this locking algorithm works.

Sketch a circuit which will realize given transfer function : Find the transfer function of the whitening filter for this input process. Be sure that the filter is causal. - Sketch a circuit which will realize this transfer function.

What transaction isolation level will you use : Suppose that you are writing a stored procedure to record a customer's purchase. Assume that the customer's data are new. How will you declare the boundaries of the transaction? What isolation level will you use?

Derive an expression for the cross correlation function : Derive an expression for the cross-correlation function of the two outputs.- Derive an expression for the cross-spectral density of the two outputs

Propose two applications of the knowledge : Propose two applications of the knowledge that you have learned in this course to your current or a future position. Provide a rationale for your response.

Determine the chance in capacity head and power required : The figure below shows portion of a fire protection system in which a pump draws water at 10 deg. C from a reservoir and delivers it to a point B at a flow rate of 6000 lit/min. Determine the height h (m) of the water level in the tank in order to..

Evaluation and analysis of secondary sources with reflection : BLB1114 LEGAL RESEARCH METHODS ASSESSMENT TASKS. Task 1 - Identification, Evaluation and Analysis of Secondary Sources with Reflection, 'The adversarial process inhibits judicial creativity. Courts are not Law Reform Commissions. They do not select ..

Explain the meaning of the term object persistence : In general terms, explain why relational databases are difficult to use for object persistence.

User Account

All Pages