一、背景介绍
一些报文在网络传输中,会存在丢包重传和延时的情况。渲染时需要进行适当缓存,等待丢失被重传的报文或者正在路上传输的报文。
jitter延时计算是确认需要缓存的时间
另外,在检测到帧有重传情况时,也可适当在渲染时间内增加RTT延时时间,等待丢失重传的报文
二、jitter实现原理
JitterDelay由两部分延迟造成:传输大帧引起的延迟和网络噪声引起的延迟。计算公式如下:
其中:
estimate[0]:信道传输速率的倒数
MaxFrameSize:表示自会话开始以来所收到的最大帧size
AvgFrameSize:表示平均帧大小,排除keyframe等超大帧
kNoiseStdDevs: 表示噪声系数2.33
var_noise_ms2_: 表示噪声方差
kNoiseStdDevOffset: 表示噪声扣除常数30
实现函数:
JitterEstimator::CalculateEstimate
1、传输大帧引起的延迟
传输大帧引起的延迟
这个公式的原理是:[milliseconds] = [1 / bytes per millisecond] * [bytes]
实现函数:
cpp
double FrameDelayVariationKalmanFilter::GetFrameDelayVariationEstimateSizeBased(
double frame_size_variation_bytes) const {
// Unit: [1 / bytes per millisecond] * [bytes] = [milliseconds].
return estimate_[0] * frame_size_variation_bytes;
}
filtered_max_frame_size_bytes
= std::max<double>(kPsi * max_frame_size_bytes_, frame_size.bytes());
constexpr double kPsi = 0.9999;
filtered_avg_frame_size_bytes
是每一帧的加权平均值,但是需要排除key frame这种超大帧
estimate_[0]参数计算:
使用一个简化卡尔曼滤波算法,在处理帧延迟变化(frame_delay_variation_ms)的估计,考虑了帧大小变化(frame_size_variation_bytes)和最大帧大小(max_frame_size_bytes)作为输入参数。
cpp
void FrameDelayVariationKalmanFilter::PredictAndUpdate(
double frame_delay_variation_ms,
double frame_size_variation_bytes,
double max_frame_size_bytes,
double var_noise) {
// Sanity checks.
if (max_frame_size_bytes < 1) {
return;
}
if (var_noise <= 0.0) {
return;
}
// This member function follows the data flow in
// https://en.wikipedia.org/wiki/Kalman_filter#Details.
// 1) Estimate prediction: `x = F*x`.
// For this model, there is no need to explicitly predict the estimate, since
// the state transition matrix is the identity.
// 2) Estimate covariance prediction: `P = F*P*F' + Q`.
// Again, since the state transition matrix is the identity, this update
// is performed by simply adding the process noise covariance.
estimate_cov_[0][0] += process_noise_cov_diag_[0];
estimate_cov_[1][1] += process_noise_cov_diag_[1];
// 3) Innovation: `y = z - H*x`.
// This is the part of the measurement that cannot be explained by the current
// estimate.
double innovation =
frame_delay_variation_ms -
GetFrameDelayVariationEstimateTotal(frame_size_variation_bytes);
// 4) Innovation variance: `s = H*P*H' + r`.
double estim_cov_times_obs[2];
estim_cov_times_obs[0] =
estimate_cov_[0][0] * frame_size_variation_bytes + estimate_cov_[0][1];
estim_cov_times_obs[1] =
estimate_cov_[1][0] * frame_size_variation_bytes + estimate_cov_[1][1];
double observation_noise_stddev =
(300.0 * exp(-fabs(frame_size_variation_bytes) /
(1e0 * max_frame_size_bytes)) +
1) *
sqrt(var_noise);
if (observation_noise_stddev < 1.0) {
observation_noise_stddev = 1.0;
}
// TODO(brandtr): Shouldn't we add observation_noise_stddev^2 here? Otherwise,
// the dimensional analysis fails.
double innovation_var = frame_size_variation_bytes * estim_cov_times_obs[0] +
estim_cov_times_obs[1] + observation_noise_stddev;
if ((innovation_var < 1e-9 && innovation_var >= 0) ||
(innovation_var > -1e-9 && innovation_var <= 0)) {
RTC_DCHECK_NOTREACHED();
return;
}
// 5) Optimal Kalman gain: `K = P*H'/s`.
// How much to trust the model vs. how much to trust the measurement.
double kalman_gain[2];
kalman_gain[0] = estim_cov_times_obs[0] / innovation_var;
kalman_gain[1] = estim_cov_times_obs[1] / innovation_var;
// 6) Estimate update: `x = x + K*y`.
// Optimally weight the new information in the innovation and add it to the
// old estimate.
estimate_[0] += kalman_gain[0] * innovation;
estimate_[1] += kalman_gain[1] * innovation;
// (This clamping is not part of the linear Kalman filter.)
if (estimate_[0] < kMaxBandwidth) {
estimate_[0] = kMaxBandwidth;
}
// 7) Estimate covariance update: `P = (I - K*H)*P`
double t00 = estimate_cov_[0][0];
double t01 = estimate_cov_[0][1];
estimate_cov_[0][0] =
(1 - kalman_gain[0] * frame_size_variation_bytes) * t00 -
kalman_gain[0] * estimate_cov_[1][0];
estimate_cov_[0][1] =
(1 - kalman_gain[0] * frame_size_variation_bytes) * t01 -
kalman_gain[0] * estimate_cov_[1][1];
estimate_cov_[1][0] = estimate_cov_[1][0] * (1 - kalman_gain[1]) -
kalman_gain[1] * frame_size_variation_bytes * t00;
estimate_cov_[1][1] = estimate_cov_[1][1] * (1 - kalman_gain[1]) -
kalman_gain[1] * frame_size_variation_bytes * t01;
// Covariance matrix, must be positive semi-definite.
RTC_DCHECK(estimate_cov_[0][0] + estimate_cov_[1][1] >= 0 &&
estimate_cov_[0][0] * estimate_cov_[1][1] -
estimate_cov_[0][1] * estimate_cov_[1][0] >=
0 &&
estimate_cov_[0][0] >= 0);
}
2、网络噪声引起的延迟
网络噪声引起的延迟
constexpr double kNoiseStdDevs = 2.33; //噪声系数
constexpr double kNoiseStdDevOffset = 30.0;//噪声扣除常数
var_noise_ms2_ //噪声方差
实现函数:
噪声方差var_noise_ms2计算
var_noise_ms2 = alpha * var_noise_ms2_ +
(1 - alpha) *(d_dT - avg_noise_ms_) *(d_dT - avg_noise_ms_);
实现函数:JitterEstimator::EstimateRandomJitter
其中:
d_dT = 实际FrameDelay - 评估FrameDelay
在JitterEstimator::UpdateEstimate函数实现
实际FrameDelay = (两帧之间实际接收gap - 两帧之间实际发送gap)
在InterFrameDelayVariationCalculator::Calculate函数实现
cpp
absl::optional<TimeDelta> InterFrameDelayVariationCalculator::Calculate(
uint32_t rtp_timestamp,
Timestamp now) {
int64_t rtp_timestamp_unwrapped = unwrapper_.Unwrap(rtp_timestamp);
if (!prev_wall_clock_) {
prev_wall_clock_ = now;
prev_rtp_timestamp_unwrapped_ = rtp_timestamp_unwrapped;
// Inter-frame delay variation is undefined for a single frame.
// TODO(brandtr): Should this return absl::nullopt instead?
return TimeDelta::Zero();
}
// Account for reordering in jitter variance estimate in the future?
// Note that this also captures incomplete frames which are grabbed for
// decoding after a later frame has been complete, i.e. real packet losses.
uint32_t cropped_prev = static_cast<uint32_t>(prev_rtp_timestamp_unwrapped_);
if (rtp_timestamp_unwrapped < prev_rtp_timestamp_unwrapped_ ||
!IsNewerTimestamp(rtp_timestamp, cropped_prev)) {
return absl::nullopt;
}
// Compute the compensated timestamp difference.
TimeDelta delta_wall = now - *prev_wall_clock_;
int64_t d_rtp_ticks = rtp_timestamp_unwrapped - prev_rtp_timestamp_unwrapped_;
TimeDelta delta_rtp = d_rtp_ticks / k90kHz;
// The inter-frame delay variation is the second order difference between the
// RTP and wall clocks of the two frames, or in other words, the first order
// difference between `delta_rtp` and `delta_wall`.
TimeDelta inter_frame_delay_variation = delta_wall - delta_rtp;
prev_wall_clock_ = now;
prev_rtp_timestamp_unwrapped_ = rtp_timestamp_unwrapped;
return inter_frame_delay_variation;
}
评估FrameDelay = estimate[0] * (FrameSize -- PreFrameSize) + estimate[1]
评估FrameDelay实现函数:
cpp
double FrameDelayVariationKalmanFilter::GetFrameDelayVariationEstimateTotal(
double frame_size_variation_bytes) const {
double frame_transmission_delay_ms =
GetFrameDelayVariationEstimateSizeBased(frame_size_variation_bytes);
double link_queuing_delay_ms = estimate_[1];
return frame_transmission_delay_ms + link_queuing_delay_ms;
}
3、jitter延时更新流程
三、RTT延时计算
VideoStreamBufferController::OnFrameReady函数,在判断帧有重传情况时,还会根据实际情况,在渲染帧时间里面增加RTT值。
JitterEstimator::GetJitterEstimate根据实际配置,可以在渲染时间中适当增加一定比例的RTT延时值。