Inter Symbol Interference Archives - GaussianWaves https://www.gaussianwaves.com/category/inter-symbol-interference/ Signal Processing for Communication Systems Mon, 07 Jun 2021 12:42:18 +0000 en-US hourly 1 https://wordpress.org/?v=6.4.4 https://i0.wp.com/www.gaussianwaves.com/gaussianwaves/wp-content/uploads/2016/02/cropped-gaussianwaves_logo_120_120.png?fit=32%2C32&ssl=1 Inter Symbol Interference Archives - GaussianWaves https://www.gaussianwaves.com/category/inter-symbol-interference/ 32 32 163393712 Simulate matched filter system with SRRC filtering https://www.gaussianwaves.com/2019/02/implementing-a-matched-filter-system-with-srrc-filtering/ https://www.gaussianwaves.com/2019/02/implementing-a-matched-filter-system-with-srrc-filtering/#comments Fri, 15 Feb 2019 07:09:27 +0000 https://www.gaussianwaves.com/?p=18021 Key focus: Let’s learn how to simulate matched filter receiver with square root raised cosine (SRRC) filter, for a pulse amplitude modulation (PAM) system. Simulation Model A basic pulse amplitude modulation (PAM) system as DSP implementation, is shown in Figure 1 by adding an upsampler (), pulse shaping function () at the transmitter and a ... Read more

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Precoding for partial response signaling schemes https://www.gaussianwaves.com/2019/01/precoding/ https://www.gaussianwaves.com/2019/01/precoding/#comments Wed, 23 Jan 2019 07:33:34 +0000 https://www.gaussianwaves.com/?p=18080 Introduction to precoding Intersymbol interference (ISI) is a common problem in telecommunication systems, such as terrestrial television broadcasting, digital data communication systems, and cellular mobile communication systems. Dispersive effects in high-speed data transmission and multipath fading are the main reasons for ISI. To maximize the capacity, the transmission bandwidth must be extended to the entire ... Read more

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Partial response schemes: impulse & frequency response https://www.gaussianwaves.com/2019/01/impulse-response-and-frequency-response-of-pr-signaling-schemes/ https://www.gaussianwaves.com/2019/01/impulse-response-and-frequency-response-of-pr-signaling-schemes/#respond Tue, 22 Jan 2019 07:40:03 +0000 https://www.gaussianwaves.com/?p=18044 Impulse response and frequency response of PR signaling schemes Consider a minimum bandwidth system in which the filter is represented as a cascaded combination of a partial response filter and a minimum bandwidth filter . Since is a brick-wall filter, the frequency response of the whole system is equivalent to frequency response of the FIR ... Read more

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Partial response (PR) signaling Model https://www.gaussianwaves.com/2019/01/partial-response-pr-signaling-models/ https://www.gaussianwaves.com/2019/01/partial-response-pr-signaling-models/#comments Mon, 21 Jan 2019 06:45:21 +0000 https://www.gaussianwaves.com/?p=18023 Consider the generic baseband communication system model and its equivalent representation, shown in Figure 1, where the various blocks in the system are represented as filters. To have no ISI at the symbol sampling instants, the equivalent filter should satisfy Nyquist’s first criterion. If the system is ideal and noiseless, it can be characterized by ... Read more

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Construct eye diagram from stored signal samples https://www.gaussianwaves.com/2018/11/construction-of-eye-diagrams-from-signals-represented-in-computer-memory/ https://www.gaussianwaves.com/2018/11/construction-of-eye-diagrams-from-signals-represented-in-computer-memory/#respond Thu, 22 Nov 2018 06:15:05 +0000 https://www.gaussianwaves.com/?p=17268 Eye diagram is a powerful tool to analyze the overall quality of a communication link. It reveals important characteristics of a communication link, that includes timing sensitivity, noise margin, inter-symbol interference (ISI) and zero-crossing jitter. It also shows the optimum sampling time for the receiver, which indicates when to sample the incoming signal for converting ... Read more

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Square-root raised-cosine pulse shaping https://www.gaussianwaves.com/2018/10/square-root-raised-cosine-pulse-shaping/ https://www.gaussianwaves.com/2018/10/square-root-raised-cosine-pulse-shaping/#respond Mon, 15 Oct 2018 07:41:19 +0000 https://www.gaussianwaves.com/?p=16990 Raised-cosine (RC) pulse shaping filter is generally employed at the transmitter. In time domain, a matched filter at the receiver is the mirrored copy of the impulse response of the transmit pulse shaping filter.

In square-root raised cosine (SRRC) filtering, the task of raised cosine filtering is equally split between the transmit and receive filters. The combined impulse response of two SRRC filters is same as the impulse response of the RC filter

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Raised cosine pulse shaping https://www.gaussianwaves.com/2018/10/raised-cosine-pulse-shaping/ https://www.gaussianwaves.com/2018/10/raised-cosine-pulse-shaping/#comments Tue, 09 Oct 2018 07:12:54 +0000 https://www.gaussianwaves.com/?p=16967 As mentioned earlier, the shortcomings of the sinc pulse can be addressed by making the transition band in the frequency domain less abrupt. The raised-cosine (RC) pulse comes with an adjustable transition band roll-off parameter , using which the transition band’s rate of decay can be controlled. The RC pulse shaping function is expressed in ... Read more

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Sinc pulse shaping https://www.gaussianwaves.com/2018/10/sinc-pulse-shaping/ https://www.gaussianwaves.com/2018/10/sinc-pulse-shaping/#respond Fri, 05 Oct 2018 09:02:20 +0000 https://www.gaussianwaves.com/?p=16938 Key focus: Sinc pulse shaping of transmitted bits, offers minimum bandwidth and avoids intersymbol interference. Discuss its practical considerations & simulation. Sinc pulse shaping As suggested in the earlier post, the pulse shape that avoids ISI with the least amount of bandwidth is a sinc pulse of bandwidth . Here, is the baud rate of ... Read more

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Rectangular pulse shaping – simulation model https://www.gaussianwaves.com/2018/10/rectangular-pulse-shaping/ https://www.gaussianwaves.com/2018/10/rectangular-pulse-shaping/#respond Mon, 01 Oct 2018 06:48:54 +0000 https://www.gaussianwaves.com/?p=16895 Key focus: Rectangular pulse shaping with abrupt transitions eliminates intersymbol interference, but it has infinitely extending frequency response. Simulation discussed. Rectangular pulse A rectangular pulse with abrupt transitions is a natural choice for eliminating ISI. If an information sequence is shaped as rectangular pulses, at the symbol sampling instants, the interference due to other symbols ... Read more

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Discrete-time communication system model https://www.gaussianwaves.com/2018/09/discrete-time-model-for-a-system-with-pulse-shaping-and-matched-filtering/ https://www.gaussianwaves.com/2018/09/discrete-time-model-for-a-system-with-pulse-shaping-and-matched-filtering/#respond Fri, 28 Sep 2018 03:07:15 +0000 https://www.gaussianwaves.com/?p=16869 Key focus: Baseband communication system and its equivalent DSP implementation (discrete time model) with a pulse shaping & matched filter is briefly introduced. If a train of pulses representing an information sequence need to be sent across a band-limited dispersive channel, the bandwidth of the channel should be large enough to accommodate the entire spectrum ... Read more

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