Questions tagged [capacity]

Capacity refers to the capability of a channel to transport data, typically measured in bits per channel usage.

Filter by
Sorted by
Tagged with
0 votes
0 answers
53 views

Error in the visualizing Capacity bounds of FSO Links over Gamma-Gamma Atmospheric Turbulence Channels Using OOK Signaling?

I simply want to visualize 【Capacity bounds and mutual information】 versus 【SNR $\gamma$(dB) or probability $p$ (The input to the channel is a binomial distribution with parameter $p$)】 But I cannot ...
1 vote
0 answers
29 views

Applying Blahut-Arimoto Algorithm for AWGN Channels Capacity Calculation with Cost

I am exploring the Blahut-Arimoto algorithm (or any numerical method) for channel capacity calculations, particularly for continuous channels. I understand its application in discrete scenarios, but I ...
0 votes
1 answer
102 views

OFDM system capacity if we double the subcarriers

Suppose we have two OFDM based systems A & B. System A has $N$ subcarriers and bandwidth $W$, and the number of samples in the CP is 10% of $N$. System B has $2N$ subcarriers, $2W$ bandwidth and ...
0 votes
1 answer
168 views

Log-normal shadowing and mean power

Let's assume I'm receiving a signal with power measured in dBm shadowed according to the normal distribution, i.e. $P_{\text{dBm}} \sim N(0,1) $. If there is also a normally distributed noise power $...
-1 votes
2 answers
81 views

Can we broadcast two messages using NOMA?

Is it possible for a transmitter to broadcast two messages to a set of receivers at the same time using superposition coding (Non-Orthogonal Multiple Access - NOMA)? A transmitter has two messages $...
1 vote
2 answers
1k views

What is the intuition explaining the Shannon-Hartley theorem?

In the digital domain, the signal to noise ratio (SNR) may be interpreted loosely but usefully as the number of discrete or quantized levels one can transmit reliably. For instance, loosely speaking, ...
1 vote
1 answer
121 views

Achievable rate for MIMO channel with estimated channel matrix

In a MIMO system, if the receiver has perfect CSI, i.e. knows that channel matrix $\boldsymbol{H}$, then the achievable rate is: $$ R = \log \left|\boldsymbol{I}+\frac{P}{N_RN_T}\boldsymbol{H}\...
0 votes
1 answer
85 views

Are there any techniques that can achieve higher transmission rate than Shannon capacity?

The maximum bit rate that can be transmitted over a channel with bandwidth B is determined by Shannon C=B log(1+S/N) Are there any techniques that could break this limit?
1 vote
2 answers
494 views

Rayleigh Fading

I am calculating the capacity of $K$ channels between a transmitter and $N$ receivers in a cellular scenario. I use the following equation: $$C_n^k = B\log_2\left(1 + \frac{Ph_n^k}{N_0B + I_n^k}\right)...
2 votes
4 answers
1k views

Are capacity and spectral efficiency identical for a dicrete-time digital signal?

I saw this answer and saw on the wikipedia page that both spectral efficiency and capacity can be measured in bpcu i.e. 'bits/symbol'. I just want to confirm then that they are identical for a ...
0 votes
0 answers
310 views

Why are some Shannon's limit plots exponential rather than logarithmic?

This diagram again. This is clearly not the shape of $\log_2(1+SNR)$ but I very frequently see this instead of this: But this is also a stupid diagram because it doesn't cross at the origin. Also why ...
1 vote
1 answer
293 views

Difference: Ergodic channel capacity and spectral efficiency

Can someone explain what is the difference between the capacity and ergodic capacity? Ergodic capacity and spectral efficiency?
1 vote
1 answer
93 views

Capacity and channel estimation algorithms: explanation of results

I study a spectral efficiency of a system with a precoding scheme with different channel schemes. Algorithm A for channel estimation gives a smaller estimation error instead of Algorithm B. I have ...
0 votes
0 answers
12 views

How to send two packets in a point-to-point transmission with NOMA? [duplicate]

If a transmitter T1 has two packets M1 and M2 to send to a receiver R1, can T1 send M1 and M2 at the same time and using the same frequency based on Non-orthogonal multiple access (NOMA)? If T1 sends ...
1 vote
2 answers
3k views

Relationship between Nyquist and Shannon channel capacity

Nyquist channel capacity(Cn) used for theoretical noiseless channel $C_n=2B\log_2(M)$ Shannon channel capacity(Cs) for noisy channel $C_s=B\log_2(1+\text{SNR})$ So is there a relationship between ...
0 votes
0 answers
46 views

Channel Capacity of OFDM with Index Modulation

I am trying to figure out the channel capacity of OFDM with index modulation (OFDM-IM). One of the article reports that the conditional channel capacity of OFDM-IM is $\mathcal{C}_{\mathrm{OFDM-IM}}(\...
0 votes
0 answers
39 views

interpretation of simulation results : capacity with precoder

I am studying the concept of computation the capacity. I have early asked about the difference between CSI unknown/ known to transmitter here. In the book about Matlab implementation OFDM system, the ...
0 votes
0 answers
73 views

Basic results of error correcting codes

Please can someone verify these basic results about error correcting codes. For this example I am using Reed-Solomon because there are functions to calculate the rate $r$ and distance $d$ of the code,...
0 votes
1 answer
268 views

Example of Entropy and Channel Capacity Computation

Can you help me on verifying if this computation of entropy is correct and on understanding its meaning? I am not sure of the result especially because it is equal to 0: it means that we cannot ...
0 votes
2 answers
486 views

When channels are in a cascade and are independent is the capacity the sum?

Just wondering if two channels are independent then is the overall capacity, the sum of the individual capacities? For example suppose I have two BEC where the probability of erasure is $\varepsilon$...
2 votes
1 answer
3k views

Nyquist noiseless channel capacity; how can bit-rate be two times the bandwidth?

I'm confused by the Nyquist channel capacity formula. How can channel maximum capacity approach double the bandwidth. $C = 2\times BW \times log_{2}(L)$ bits/sec The way it was explained to me ...
1 vote
1 answer
59 views

Modulation with Maximum Likelihood decoder and capacity

My question comes from the high spectrum efficiency claim of OFDM. This seems not correct IMHO, at least theoretically. For me, we lose energy in using cyclic prefix, hence OFDM should be a waste of ...
0 votes
1 answer
76 views

Assessing relative wireless channel quality using Capacity and Condition Number CDFs

I have Channel capacity analysis figures for two wireless channels show below: My question: While ergodic capacity in the first subplots are very clear in conveying the channel capacity, How to make ...
1 vote
0 answers
299 views

Capacity achieving codes for BPSK at low SNR

I don't know a lot about comm system design. I have an AWGN channel and low SNR (-3dB). Bandwidth is constrained to some maximum, B. I would like to know good choices of modulation and coding to ...
1 vote
1 answer
186 views

Concatenated Deletion & Sticky Channel Capacity

Suppose you are sending information through a deletion channel with a deletion rate of .5 and then the output of this channel is sent through a sticky channel with a repeat rate of .5 also. No error ...