RU Electronics has been contracted to design a Doppler radar system.
Radar transmitters emit a signal that bounces off any conducting object.Signal differences between what is sent and the radar return is processed and features of interest extracted.
In
Doppler systems, the object's speed along the direction of the radar beam is the feature the design must extract.
The transmitted signal is a sinsusoid:
.
The measured return signal equals
, where the Doppler offset frequency
equals
, where
is the car's velocity coming toward the transmitter.
Design a system that uses the transmitted and return signals as inputs and produces
.
One problem with designs based on overly simplistic design goals is that they are sensitive to unmodeled assumptions.
How would you change your design, if at all, so that whether the car is going away or toward the transmitter could be determined?
Suppose two objects traveling different speeds provide returns.
How would you change your design, if at all, to accomodate multiple returns?
Demodulating an am signal
Let
denote the signal that has been amplitude modulated.
Radio stations try to restrict the amplitude of thesignal
so that it is less than one in magnitude. The frequency
is very large compared to the frequency content of the
signal. What we are concerned about here is nottransmission, but reception.
The so-called coherent demodulator simply multiplies
the signal
by a sinusoid having the same frequency as thecarrier and lowpass filters the result. Analyze
this receiver and show that it works. Assume thelowpass filter is ideal.
One issue in coherent reception is the phase of the
sinusoid used by the receiver relative to that usedby the transmitter. Assuming that the sinusoid of
the receiver has a phase
, how does the
output depend on
? What is the
worst possible value for this phase?
The incoherent receiver is more commonly used
because of the phase sensitivity problem inherent incoherent reception. Here, the receiver full-wave
rectifies the received signal and lowpass filtersthe result (again ideally). Analyze this receiver.
Does its output differ from that of the coherentreceiver in a significant way?
Unusual amplitude modulation
We want to send a band-limited signal having the
depicted spectrum with amplitude modulation in the usual way.
I.B. Different suggests using the square-wave carrier shown
below .
Well, it is different, but his friends wonder if any technique can demodulate it.
Find an expression for
, the Fourier transform of the modulated signal.
Sketch the magnitude of
, being careful to label important magnitudes and frequencies.
What demodulation technique obviously works?
I.B. challenges three of his friends to demodulate
some other way.
One friend suggests modulating
with
, another wants to try modulating with
and the third thinks
will work.
Sketch the magnitude of the Fourier transform of the signal each student's approach produces.Which student comes closest to recovering the original signal?
Why?
Questions & Answers
differentiate between demand and supply
giving examples
In economics, a perfect market refers to a theoretical construct where all participants have perfect information, goods are homogenous, there are no barriers to entry or exit, and prices are determined solely by supply and demand. It's an idealized model used for analysis,
When MP₁ becomes negative, TP start to decline.
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 •
Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of lab
Kelo
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 •
Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of labour (APL) and marginal product of labour (MPL)
Quantity demanded refers to the specific amount of a good or service that consumers are willing and able to purchase at a give price and within a specific time period. Demand, on the other hand, is a broader concept that encompasses the entire relationship between price and quantity demanded
Ezea
ok
Shukri
how do you save a country economic situation when it's falling apart
Economic growth as an increase in the production and consumption of goods and services within an economy.but
Economic development as a broader concept that encompasses not only economic growth but also social & human well being.
Shukri
production function means
Jabir
What do you think is more important to focus on when considering inequality ?
sir...I just want to ask one question... Define the term contract curve? if you are free please help me to find this answer 🙏
Asui
it is a curve that we get after connecting the pareto optimal combinations of two consumers after their mutually beneficial trade offs
Awais
thank you so much 👍 sir
Asui
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities, where neither p
Cornelius
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities,
Cornelius
Suppose a consumer consuming two commodities X and Y has
The following utility function u=X0.4 Y0.6. If the price of the X and Y are 2 and 3 respectively and income Constraint is birr 50.
A,Calculate quantities of x and y which maximize utility.
B,Calculate value of Lagrange multiplier.
C,Calculate quantities of X and Y consumed with a given price.
D,alculate optimum level of output .
the market for lemon has 10 potential consumers, each having an individual demand curve p=101-10Qi, where p is price in dollar's per cup and Qi is the number of cups demanded per week by the i th consumer.Find the market demand curve using algebra. Draw an individual demand curve and the market dema
suppose the production function is given by ( L, K)=L¼K¾.assuming capital is fixed find APL and MPL. consider the following short run production function:Q=6L²-0.4L³ a) find the value of L that maximizes output b)find the value of L that maximizes marginal product