Module 1
Determine the sinusoid is periodic or non-periodic: cos(π n/5)
PERIODIC (pacheck) tama
Determine the sinusoid is periodic or non-periodic: sin(7n/10 + π/2)
NON-PERIODIC(pacheck)
Determine sinusoid is periodic or non-periodic: cos (2πn (5/π ))
PERIODIC
F=1/10 kasi eh diba kapag naka fraction non-periodic na agad? Di ba periodic toh?
Kapag F is rational, periodic, rational ang 1/10
So final na periodic kapag ganyan right?yes
Thank you!!
Compute the fundamental frequency. For non-periodic, the fundamental value is 5000.
x(n) = sin (3n)(ano dito?)
Non periodic to, so 5000 sagot - June
Need pa ba sabihin na non-periodic?
helwp
An analog signal xa(t) = sin(480πt) + 3 sin(720 πt) is sampled 600 times per second.
Determine the folding frequency.
A discrete-time sinusoid is periodic only if its frequent f is irrational number.
True
False
A digital communication link carries binary-coded words representing samples of an input
signal
xa(t) =3cos(500πt) -2cos(1000 πt)
The link is operated at 8000 bits/s and each input sample is quantized into 2048 different
voltage levels.
What is the sampling frequency?
727.2727
The ________ of a DAC is defined as the smallest observable change in the analog output that can be
effected by a single step change in the digital input.
Resolution
The signal x(t) must be bandlimited, that is, its frequency spectrum must be limited to contain
frequencies more than maximum frequency and no frequencies beyond that.
False
An analog electrocardiogram (ECG) signal contains useful frequencies up to 400 Hz. Suppose that
we sample this signal at a rate of 1000 samples/s. What is the highest frequency that can be
represented uniquely at this sampling rate?
500 Hz
Speech, electrocardiogram, and electroencephalogram signals are examples of
information-bearing signals that evolve as functions of a/an _____ independent variable,
namely, time. S
INGLE
The process of converting a continuous-valued signal into a discrete-valued signal called
______________ is basically an approximation process.
QUANTIZATION
The discrete-time signal x(n) = 6.35 cos(π/10)n is quantized with a resolution delta is 0.1.
How many bits are required in the A/D converter?
The sampling rate fs must be chosen to be at _________ (two words) the maximum frequency fmax.
least twice
Determine if signal is periodic or non-periodic: cos(3π/10 - PERIODIC
Continuous-time sinusoids whose frequencies are separated by an integer multiple of
2π are identical.
FALSE
Increasing the frequency results in an increase in the rate of oscillation of the signal.
TRUE
An analog electrocardiogram (ECG) signal contains useful frequencies up to 240 Hz.
What is the Nyquist rate for this signal?
480
The highest rate of oscillation in a discrete-rime sinusoid is attained when ω = 2π.
fALSE
Continuous-time sinusoidal signals with distinct frequencies are themselves distinct.
True
False
Sampling is the conversion of a discrete-time signal into a continuous-time signal obtained by taking
"samples" of the continuous-time signal at discrete-time instants.
FALSE
Digital signal processing is a field of numerical mathematics that is concerned with the
processing of discrete signals. (true or false?)
TRUE
The difference between the unquantized sample and the quantized output is called the
quantization.
True
False
Compute the fundamental frequency in Hz. For non-periodic, the fundamental value is 5000.
x(n) = cos(3nπ/10)
750
Compute the fundamental period (N). For non-periodic, the fundamental value is
5000. x(n) = 4sin(0.2π n) - 2 cos(0.3πn) + 3cos(0.5πn)
1/250 or 0.004
All measuring instruments that take measurements at a regular interval of ______ provide
discrete-time signals.
TIME
A digital communication link carries binary-coded words representing samples of an input signal
xa(t) =3cos(500πt) -2cos(1000 πt)
The link is operated at 8000 bits/s and each input sample is quantized into 2048 different
voltage levels.
What is the folding frequency?
363.6364
__________ refers to the difference between a signal reconstructed from samples and the original
continuous signal, when the resolution is too low.
Aliasing
Consider the simple signal processing system figure below. The sampling periods of the
A/D and D/A converters are T = 4ms and T' =2ms, respectively. Determine the output y(t) of
the system, if the input is
x(t) = 3cos(100πt) + 2sin(350πt)
The post-filter removes any frequency component above FS/2.
x(t) ----- > A/D (T) ----- > D/A ( T' ----- > Postfilter ----- > y(t)
Example answer y
(t)=2sin(50*pi*t)+3cos(500*pi*t)
y(t)=3cos(200*pi*t) -mic tama ba? Di included yung 700 kasi nafilter daw T’=2ms so 500 Hz
yung filter? Yan den sagot ko - June
12points ito ah wag muna magsagot wait
y(t)=2sin(700*pi*t)+3cos(200*pi*t) pacehck tama ba ito? TAMA PO BA ITO??
Tama na to mga mehn?
Iba given sa ms T at T’
_________ is specified by the converter's linearity.
Accuracy
The conversion _____ is determined by the time it takes to perform the conversion process
Speed (thanks
The output of the A/D converter is a digital signal that is appropriate as an _______ to the
digital processor
Input? Di ko sure -mic
A system may also be defined as a physical device that ______ an operation on a signal.
PERFORMS (nasa ppt) thanks
A digital communication link carries binary-coded words representing samples of an input signal
xa(t) =3cos(500πt) -2cos(1000 πt)
The link is operated at 10,000 bits/s and each input sample is quantized into 512 different
voltage levels.
What is the Nyquist rate for the signal xa(t) ?
1000 Hz
If we loose information during sampling we cannot recover it.
True (PDF)
False
An analog electrocardiogram (ECG) signal contains useful frequencies up to 260 Hz.
What is the Nyquist rate for this signal?
A digital communication link carries binary-coded words representing samples of an input signal
A digital communication link carries binary-coded words representing samples of
an input signal
xa(t) =3cos(500πt) -2cos(1000 πt)
The link is operated at 10,000 bits/s and each input sample is quantized into 512 different
voltage levels.
xa(t) =3cos(500πt)-2cos(1000 πt)
The link is operated at 10,000 bits/s and each input sample is quantized into 512 different
voltage levels.
What is the Nyquist rate for the signal xa(t) ?
