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Signal Representation/Calculating with Complex Numbers
|Vorherige Seite=Signal Classification == Representation by magnitude and phase==

12 KB (1,973 words) - 17:45, 7 June 2023
Exercise 4.14: 8-PSK and 16-PSK
[[File:P_ID2067__Dig_A_4_14.png|right|frame|Signal space constellations <br>of the 8-PSK and 16-PSK]] Now a signal set  $\{s_i(t)\}$  is considered,  which is limited to the t

14 KB (2,252 words) - 21:31, 1 September 2022
Digital Signal Transmission/Carrier Frequency Systems with Coherent Demodulation
== Signal space representation of linear modulation == ...ation Methods",  the structure of the optimal receiver and the signal representation by means of basis functions were treated by the example of baseband transmi

33 KB (5,393 words) - 12:04, 17 November 2022
About LNTwww
...mmunications Engineering with nine didactic multimedia textbooks including exercises with solutions,  learning videos,  and interactive applets.  ...gnal Representation,  Fourier and Laplace Transform,  Stochastic Signal Theory, etc.$)$  is presented in a didactically and multimedia prepare

31 KB (4,676 words) - 16:40, 17 January 2024
Exercise 5.3: 1st order Digital Filter
...$x(t) = \delta(t)$,  which corresponds to the following discrete-time representation: [[Category:Theory of Stochastic Signals: Exercises|^5.2 Digital Filters^]]

5 KB (716 words) - 19:00, 10 February 2022
Linear and Time Invariant Systems/Linear Distortions
|Untermenü=Signal Distortion and Equalization ...enuation curve must be constant for all frequencies contained in the input signal:

18 KB (2,829 words) - 19:47, 14 November 2023
Exercise 5.2Z: DFT of a Triangular Pulse
The signal parameters have the following values: [[Category:Signal Representation: Exercises|^5.2 Discrete Fourier Transform^]]

7 KB (1,058 words) - 17:59, 16 May 2021
Information Theory/AWGN Channel Capacity for Continuous-Valued Input
...l_of_digital_signal_transmission|"Information-theoretical model of digital signal transmission"]]  the  "mutual information"  between the two ...ous mutual information  $I(X;Y) = h(X) + h(Y) - h(XY)$.   This representation is also found in the following diagram  $($left graph$)$.

21 KB (3,453 words) - 16:22, 28 February 2023
Exercise 1.1: Simple Filter Functions
...the power  $P_y$  of the output signal  $y(t)$ if a cosine signal of frequency  $f_x = 5\,{\rm kHz}$  or  $f_x = 10\,{\rm kHz} *In logarithmic representation, this relationship is:

7 KB (1,058 words) - 16:11, 9 July 2021
Exercise 3.3: From the Signal to the Spectrum
...; At the jumping points at  $t = 0$  and  $t = T$  the signal value is  $A/2$  in each case, but this has no influence on the s [[Category:Signal Representation: Exercises|^3.2 Special Cases of Pulses^]]

7 KB (1,155 words) - 11:36, 23 April 2021
Examples of Communication Systems/Speech Coding
...ansmission to  $\text{22.8 kbit/s}$  and to reproduce the speech signal at the receiver side in the best possible way. Different signal processing methods are used for speech encoding and decoding:

30 KB (4,749 words) - 16:06, 20 February 2023
Exercise 4.16: Binary Frequency Shift Keying
* $E$  is the signal energy.  Here,  it is equally true for the  "average symbol Using  $h$,  the equivalent low-pass representation leads to the two complex signals

8 KB (1,308 words) - 21:51, 1 September 2022
Exercise 5.3Z: Non-Recursive Filter
*Reference is also made to some chapters in the book  [[Signal Representation]]. [[Category:Theory of Stochastic Signals: Exercises|^5.2 Digital Filters^]]

6 KB (829 words) - 19:16, 10 February 2022
Theory of Stochastic Signals/Auto-Correlation Function
An important concept in stochastic signal theory is the  "random process".  Below are some characteristics ...r physical and statistical properties,  each of which yields a random signal  $x_i(t)$.

30 KB (4,674 words) - 11:07, 22 December 2022
Linear and Time Invariant Systems/Laplace Transform and p-Transfer Function
...whose input the signal  $x(t)$  is applied to.  The output signal  $y(t)$  is then obtained as the convolution product  $x(t) #However,  if the signal  $x(t)$  has periodic components and thus the spectral function &

24 KB (3,967 words) - 17:56, 19 November 2023
Exercise 3.3Z: Rectangular Pulse and Dirac Delta
[[Category:Signal Representation: Exercises|^3.2 Special Cases of Pulses^]]

5 KB (712 words) - 18:42, 25 May 2021
Exercise 1.3Z: Rayleigh Fading Revisited
...adio channels  (both without multipath propagation)  in 2D–representation.  The following is assumed: ...urther_distributions|Further distributions]]  of the book "Stochastic Signal Theory".

7 KB (1,117 words) - 16:43, 28 May 2021
Exercise 5.7Z: Application of the IDFT
...ier_Transform_(DFT)|Discrete Fourier Transform]]  in the book "Signal Representation". [[Category:Modulation Methods: Exercises|^5.6 Realization of OFDM Systems^]]

6 KB (914 words) - 10:35, 12 January 2022
Exercise 3.1Z: Spectrum of the Triangular Pulse
[[Category:Signal Representation: Exercises|^3.1 Fourier Transform and Its Inverse^]]

5 KB (862 words) - 15:39, 21 April 2021
Exercise 5.3: Mean Square Error
Let the signal parameters be  $A = 1\ {\rm V}$  and  $T = 1\ {\rm ms}$ in [[Category:Signal Representation: Exercises|^5.3 Possible DFT Errors^]]

8 KB (1,201 words) - 17:14, 17 May 2021