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The channel gain at the n th receiving branch of the reader is given by h n = ∑ l = 1 L h l f h l, n b.
For the l th receiving branch of this SIMO system, the squared magnitude of the channel gain is | H l | 2 = ∑ n = 1 N α l β l, n, where α l is the channel power at the l th receiving branch.
where P ̌ el,rx = P ̌ ADC + P ̌ filter + P ̌ mixer + P ̌ LNA + P ̌ IFA represents the power consumption of analog-to-digital converter (ADC), filters, mixer, low-noise amplifier (LNA) and intermediate frequency amplifier (IFA) of each receiving branch.
Here α l is the squared magnitude of the channel gain of the l th receiving branch, N and L are the index of the function G N, L , and we define γ ̄ ̄ = g γ ̄ sin 2 θ, where γ ̄ is the average SNR and g is a constant which is modulation dependent.
From the channel matrix in Equation (5), the channel power at the n th receiving branch, also referred as the instantaneous signal-to-noise ratio (SNR) at the n th receiving antenna, can be given by γ n = γ ̄ | ∑ l = 1 L h l f h l, n b | 2, (7).
Similar(54)
Because | | H | | 2 = ∑ l = 1 L | H l | 2, for the SER analysis we can view the N × L RFID channel which uses OSTBC as a virtual SIMO system with L receiving branches in which MRC is applied at the receiver side.
In contrast, for both the Rayleigh channel with independent receiving branches and the double Rayleigh channel with independent receiving branches, the diversity order is NL.
In contrast, for both the Rayleigh channel with independent receiving branches and the double Rayleigh channel with independent receiving branches, the diversity order is N, which means solely increasing the number of receiving antennas can significantly enhance the BER performance.
While for both Rayleigh channel with independent receiving branches and double Rayleigh channel with independent receiving branches, solely increasing the number of receiving or transmitting antennas can yield a higher diversity order and a significant BER performance improvement.
It implies that the channel gains at different receiving branches at the reader are not statistically independent with each other.
For N independent receiving branches, the BER for coherent transmission can be expressed as P N, L = 1 Π ∫ θ = 0 Π / 2 I N d θ. (55).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com