Recent content by Tybalt
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Does repeating a data transmission constitute spreading?
Thanks. This is helpful.- Tybalt
- Post #3
- Forum: Electrical Engineering
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Does repeating a data transmission constitute spreading?
Generally, spread spectrum is defined as using more spectrum (or bandwidth) than is needed to transmit a signal. But according to this definition, even TCP-IP would be a spreading scheme because it retransmits packets upon receiving a NACK. In OFDM, if you interleave data across the subcarriers...- Tybalt
- Thread
- Data Transmission
- Replies: 2
- Forum: Electrical Engineering
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Graduate What causes a complex symmetric matrix to change from invertible to non-invertible?
That's the necessary condition of a proof that a "strictly" diagonally dominant matrix is invertible. The matrices I'm looking at are symmetric tri-diagonal.- Tybalt
- Post #6
- Forum: Linear and Abstract Algebra
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Graduate What causes a complex symmetric matrix to change from invertible to non-invertible?
This is how I constructed the matrix (M): I start with a complex nxn rank-n matrix (A) and remove a row to make (n-1)xn matrix (B). So B is an operator that maps n data symbols to (n-1) coded symbols, so obviously it has a zero eigenvalue. The inter-symbol interference matrix is M = (B^-1)B. The...- Tybalt
- Post #5
- Forum: Linear and Abstract Algebra
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Graduate What causes a complex symmetric matrix to change from invertible to non-invertible?
I'm trying to get an intuitive grasp of why an almost imperceptible change in the off-diagonal elements in a complex symmetric matrix causes it to change from being invertible to not being invertible. The diagonal elements are 1, and the sum of abs values of the off-diagonal elements in each row...- Tybalt
- Thread
- Complex
- Replies: 5
- Forum: Linear and Abstract Algebra