Question

Suppose that BPSK symbols are transmitted at a rate of 1 / 2. Let gTₓ(t) = I[₀ ₂](t). Let the channel impulse response be c(t) = (t-1) - 0.5 * (t-2) + 0.5* (t-3) + 0.2* (t-4). Suppose that I₋₁ = +1, I₀ = +1 and the first five samples at the output of the receive filter are ω[1] = 2, ω[2] = 1.5, ω[3] = 2, ω[4] = -1 and ω[5] = 2.5.

a). Draw a Trellis diagram

Answer 1

A Trellis diagram is a graphical representation of the sequence of states and transitions in a trellis code. To draw the Trellis diagram for the given scenario, we need to consider the BPSK symbols transmitted at a rate of 1/2 and the channel impulse response. By analyzing the available information, we can create the Trellis diagram to visualize the possible states and transitions.

Step-by-step explanation:

A Trellis diagram

is a graphical representation of the sequence of states and transitions in a trellis code. In this case, we have BPSK symbols transmitted at a rate of 1/2, and the channel impulse response is given as c(t) = (t-1) - 0.5 * (t-2) + 0.5* (t-3) + 0.2* (t-4). To draw the Trellis diagram, we need to consider the possible states and transitions based on the given information. Each state represents a memory element that stores past information, and each transition represents the input value that leads to the next state. By considering the available information, we can create a Trellis diagram to visualize the possible states and transitions.