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1. prove the distributivity commutativity associativity of convolution sum2. prove that the absolute summability of impulseresponse is a necessary condition for the BIBO stability of LTE discrete time system
create a 512-length signal by using the rand command, then low-pass filter the signal with the filter h=1/2[1 1] to bandlimit the function, which can be represented with by the command filter.m with b1=b2=1/2, and a1=1
designing a digital thermometer, which will display temperatures from -60 degrees F tp +140 degrees F. (thesystem displays the temperature to the nearest degree, so you will not need to display fractions of a degree.
a). Determine the power this amplifier will deliver to a 4 ohm load, to an 8-ohm load, and to a 1K-ohm load b). What would be the open-circuitvoltage of the amplifier if the signal level were increased
A rectangular pulse v(t) has a magnitude of 1.0 volts and duration 5 μs. The pulse is multiplied by a sine wave x(t) at a frequency of 2.0 MHz. a. Write down an expression for the spectrum of the signal y(t) = x(t) x v(t).
A point charge of +Q is placed at the center of a square and asecond point charge of -Q is placed at the upper left corner. It isobserved that an electrostatic force of 2.0 N acts on the positivecharge at the center.
A Y-connected three phase supply has a balanced voltages of 110e^j0, 110e^(j2/3) and , 110e^(j4/3). The corresponding impedances on the Y-connected load are 30, 30+j40 and 40+j30 ohm.
A 110 pF capacitor and a 440 pF capacitor are both charged to 2.2 kV. They are then disconnected from the voltage source and are connected together, positive plate to positive plate and negative plate to negative plate.
Assume a Hertzian dipole antenna model. (a) Calculate the antenna radiation resistance and Ohmic resistance, (b) Calculate the radiation efficiency of this antenna, (c) Calculate the input impedance, (d) calculate the antenna gain
Water is flowing out of a tube at a near constant volumetric flowrate, V .If a graduated cylinder is used to collect a certain volume, v , of the water, and a timer is used to measure the time, t, required to collect the volume of water, the volum..
The following calculation was performed by a particular breed of exceptionally intelligent cartoon character. If the radix r used by the character corresponds to its total number of toes, how many toes does the character have on each foot
Calculate the composition of HgxCd1-xTe which can be used for a night vision detector with bandgap corresponding to a photon energy of 0.1 eV. Bandgap of CdTe is 1.6 eV and that of HgTe is -0.3 eV at low temperatures around 4 K.
A voltage divider has a 5 V source and two 150 kilo ohm resistors. What is the voltage across(a) an ideal voltmeter (b) a voltmeter with an input resistance of 10 mega ohms
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