Signal Processing and Mathematica (filters)

In summary, the conversation is about a Mathematica problem involving a function H(jw) and the calculation of its bandwidth. The problem also includes a condition where |H| must be greater than 1/Sqrt[2]*Hmax. The suggested approach is to define the bandwidth condition in terms of the function and express it as real numbers. The person asking for help also asks if it is possible to plot the bandwidth region and find minimum points. The expert summarizer suggests not to find any minima, but rather to find the interval that satisfies the bandwidth definition. The solution is achieved by plotting |H| and comparing it to Hmax/Sqrt[2]. The expert also reveals that they are Swedish.
  • #1
1sprit
3
0
Mathematica problem:

Filter:

H(jw)=(3.84+5 (j w))/(5+j (1.11 w^2))

Bandwidth where:

|H|>1/Sqrt[2]*Hmax

Calculate the bandwidht

Tips or solution would be much appriciated

Thanks
 
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  • #2
Suggested starting point: define the bandwidth condition in terms of the given function, maybe in Mathematica code if that is the way you want to work this out. Spell it out - ambiguous (needs interpretation) as you present it.
 
  • #3
Thank you!

Is it possible to plot the region of the bandwidth and look at the minimums?

Svensk? :)
 
  • #4
You don't need to find any minima - it's a matter of finding the interval that satisfies the bandwidth definition. For that you need to express things as real numbers, which is what the suggestion about spelling things out was about.

Och, ja, jag är svensk :-)
 
  • #5
Tack för svar

Jag löste det genom att plotta |H| tillsammans med Hmax/Sqrt[2] och avläsa skärningspunkterna. Blev inget exakt svar men det får duga :D
 

1. What is signal processing and how does it relate to Mathematica?

Signal processing is the manipulation and analysis of signals, such as audio, images, and other data, to extract useful information or improve their quality. Mathematica is a powerful computational software that can be used to perform signal processing tasks, such as filtering and analysis, on various types of signals.

2. What are filters in signal processing and how are they used in Mathematica?

Filters are mathematical algorithms that are used to modify or extract certain components of a signal. In signal processing, filters are used to remove noise, enhance specific frequencies, or extract specific features from a signal. Mathematica has built-in functions for designing and applying various types of filters to signals.

3. Can Mathematica be used for real-time signal processing?

Yes, Mathematica has the capability to perform real-time signal processing. It has functions for reading and processing data from external sources, such as microphones or sensors, in real-time. This allows for the analysis and manipulation of signals as they are being received.

4. How does Mathematica handle big data in signal processing?

Mathematica has powerful built-in functions for handling and analyzing large datasets, making it well-suited for signal processing tasks involving big data. It also has the ability to parallelize computations, allowing for faster processing of large datasets.

5. Can I use Mathematica for advanced signal processing techniques?

Yes, Mathematica has a vast library of functions and packages that cover a wide range of signal processing techniques, from basic filtering to advanced methods such as wavelet transforms and spectral analysis. It also has the flexibility to allow for custom algorithm development, making it suitable for advanced signal processing applications.

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