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Signal Representation/Equivalent Low-Pass Signal and its Spectral Function
|Vorherige Seite=Analytical Signal and Its Spectral Function |Nächste Seite=Discrete-Time Signal Representation

35 KB (5,623 words) - 16:11, 21 June 2023
Exercise 2.7: Two-Way Channel once more
In contrast to the general representation in exercise 2.6, the two attenuation factors are equal here:   $z_1 = ...o at a distance of  $T_2 - T_1$  and of the same strength as the signal on the main path.  For this, the transit time  $T_1$  is ass

11 KB (1,757 words) - 17:11, 6 October 2021
Theory of Stochastic Signals/Power-Spectral Density
...ier_integral|"Inverse Fourier transform"]]  in the book  "Signal Representation"): *The random signal  $x(t)$  is applied to a  (preferably)  rectangular and

19 KB (2,939 words) - 17:13, 22 December 2022
Exercise 3.4: Trapezoidal Spectrum and Pulse
In the subtask  '''(3)'''  a trapezoidal signal  $y(t)$  is considered, which is identical in shape to the spectr {What are the signal values of  $x(t)$  at  $t = 0$,  $t = T$  and&nbsp

7 KB (1,086 words) - 15:17, 24 May 2021
Linear and Time Invariant Systems/Inverse Laplace Transform
...ce transform of the output signal  $y(t)$  considering the input signal  $x(t)$ .  $Y_{\rm L}(p)$  is characterized by  $N ...}(p) = 1$   ⇒   $Y_{\rm L}(p) = H_{\rm L}(p)$, the output signal  $y(t)$  then describes the [[Linear_and_Time_Invariant_Systems/S

20 KB (3,260 words) - 17:03, 21 November 2023
Mobile Communications/Multi-Path Reception in Mobile Communications
*A  »'''two-way channel'''«:   <br>The transmitted signal  $s(t)$  reaches the receiver on a direct path with the path leng Thus, the following applies to the received signal:

14 KB (2,197 words) - 15:44, 29 January 2023
Theory of Stochastic Signals/Matched Filter
...also called  "correlation filter"  –  is used to prove the signal existence. *Let the useful component  $g(t)$  of the received signal  $r(t)=g(t)+n(t)$  be pulse-shaped and thus  "energy-limited

18 KB (2,987 words) - 11:22, 22 December 2022
Digital Signal Transmission/Optimal Receiver Strategies
...re decided simultaneously,  statistical bindings between the received signal samples can be taken into account during detection,  which results in ...bsp; and the signal  $s(t)$.  This measure is only for a simpler representation and is not a restriction.<br>

23 KB (3,666 words) - 14:16, 11 July 2022
Signal Representation/The Fourier Transform and its Inverse
...en one comes from the periodic signal to the unique  »aperiodic signal«  – often also called  »pulse«. ...ely large value  $T_0$,  one speaks of an  »aperiodic signal«.

22 KB (3,658 words) - 13:38, 14 June 2023
Exercise 3.5: Circuit with R, L and C
...nbsp;$x(t) = \gamma(t)$ is applied to the input.  Enter the following signal values: The signal values which are looked for are:

9 KB (1,453 words) - 11:12, 10 November 2021
Exercise 4.7: Several Parallel Gaussian Channels
[[File:P_ID2905__Inf_A_4_7_neu.png|right|frame|Signal space points in digital modulation]] In the adjacent graph, the signal space points for some digital modulation schemes are given:

8 KB (1,171 words) - 14:33, 4 October 2021
Modulation Methods/Double-Sideband Amplitude Modulation
We consider the following problem:  a source signal $q(t)$,  whose spectrum  $Q(f)$  is bandlimited to the ...tion of frequency  $f_{\rm T}$, which we will refer to as the carrier signal  $z(t)$.

25 KB (4,222 words) - 14:42, 18 January 2023
Exercise 5.5: Fast Fourier Transform
The graph shows the signal flow diagram of the Fast Fourier Transform  $\rm (FFT)$  for&nbsp ...on with  $w^{2} = -{\rm j}$  can be dispensed with, since in the signal flow diagram the corresponding input values are zero.

7 KB (1,066 words) - 18:08, 21 May 2021
Digital Signal Transmission/Symbolwise Coding with Pseudo-Ternary Codes
...bsp; matches the bit duration  $T_{\rm B}$  of the binary source signal,  and ...]  with respect to the input signal  $b(t)$  and the output signal  $c(t)$: 

15 KB (2,474 words) - 00:47, 23 March 2023
Exercise 3.2Z: Laplace and Fourier
The Fourier transformation can be applied to any deterministic signal  $x(t)$.  Then, the following holds for the spectral function: ...m_Theorems#Shifting_Theorem|shifting theorem]]  in Laplace or Fourier representation is:

7 KB (1,139 words) - 14:20, 13 October 2021
Modulation Methods/Quadrature Amplitude Modulation
==General description and signal space allocation== ...e| Linear modulator with  $\rm I$ and  $\rm Q$–components;  signal space for  $\text{16-QAM}$]]

27 KB (4,342 words) - 15:50, 13 January 2023
Exercise 2.7: AMI Code
#Then,  the current amplitude coefficient of the ternary transmitted signal  $s(t)$  is determined by a conventional subtraction.  There Due to AMI coding,  it is ensured that the AMI encoder signal does not contain these two "long sequences"<br>

10 KB (1,456 words) - 17:11, 25 May 2022
Exercise 5.3Z: Zero-Padding
*All time coefficients are  $1$, so the DFT incorrectly interprets a DC signal instead of the rectangular function. [[Category:Signal Representation: Exercises|^5.3 Possible DFT Errors^]]

7 KB (1,088 words) - 13:47, 22 September 2021
Exercise 4.1Z: High-Pass System
...it, so that high-frequency components are no longer included in the output signal. *In contrast, low-frequency signal components are only imperceptibly attenuated by the voltage divider.

9 KB (1,489 words) - 14:48, 17 November 2022
Modulation Methods/Envelope Demodulation
*Let the source signal  $q(t)$  be free of a DC component and limited in magnitude to &n *For simplicity of representation,  the carrier phase is set to  $\mathbf{ϕ_{\rm T} } = 0$  w

31 KB (4,950 words) - 11:44, 13 January 2023