diff --git a/pysteps/nowcasts/steps.py b/pysteps/nowcasts/steps.py
index 7cdd0d3f..abbc0100 100644
--- a/pysteps/nowcasts/steps.py
+++ b/pysteps/nowcasts/steps.py
@@ -71,17 +71,24 @@ class StepsNowcasterConfig:
 class StepsNowcasterParams:
     fft: Any = None
     bandpass_filter: Any = None
+    extrapolator_method: Any = None
     decomposition_method: Any = None
     recomposition_method: Any = None
     noise_generator: Optional[callable] = None
     perturbation_generator: Optional[callable] = None
-    noise_std_coeffs: Optional[np.ndarray] = None
-    ar_model_coefficients: Optional[np.ndarray] = None
+    noise_std_coefficients: Optional[np.ndarray] = None
+    ar_model_coefficients: Optional[np.ndarray] = None  # Corresponds to phi
+    autocorrelation_coefficients: Optional[np.ndarray] = None  # Corresponds to gamma
     domain_mask: Optional[np.ndarray] = None
     structuring_element: Optional[np.ndarray] = None
     precipitation_mean: Optional[float] = None
     wet_area_ratio: Optional[float] = None
     num_workers: int = 1
+    generate_noise: Optional[callable] = None
+    xy_coordinates: Optional[np.ndarray] = None
+    velocity_perturbation_parallel: Optional[List[float]] = None
+    velocity_perturbation_perpendicular: Optional[List[float]] = None
+    num_ensemble_workers: int = 1
 
 
 @dataclass
@@ -89,6 +96,7 @@ class StepsNowcasterState:
     precip_cascades: Optional[List[List[np.ndarray]]] = field(default_factory=list)
     precip_decomposed: Optional[List[Dict[str, Any]]] = field(default_factory=list)
     mask_precip: Optional[np.ndarray] = None
+    mask_threshold: Optional[np.ndarray] = None
     random_generator_precip: Optional[List[np.random.RandomState]] = field(
         default_factory=list
     )
@@ -97,22 +105,19 @@ class StepsNowcasterState:
     )
     velocity_perturbations: Optional[List[callable]] = field(default_factory=list)
     fft_objects: Optional[List[Any]] = field(default_factory=list)
+    precip_forecast: Optional[List[Any]] = field(default_factory=list)
 
 
 class StepsNowcaster:
-    def __init__(self, precip, velocity, timesteps, steps_config):
+    def __init__(self, precip, velocity, time_steps, steps_config):
         # Store inputs and optional parameters
         self.precip = precip
         self.velocity = velocity
-        self.timesteps = timesteps
+        self.tim_esteps = time_steps
 
         # Store the config data:
         self.config = steps_config
 
-        # Store the state and params data:
-        self.state = StepsNowcasterState()
-        self.params = StepsNowcasterParams()
-
         # Additional variables for internal state management
         self.fft = None
         self.bandpass_filter = None
@@ -138,18 +143,21 @@ def __init__(self, precip, velocity, timesteps, steps_config):
         self.recomp_method = None
         self.xy_coords = None
 
-        self.mu_0 = None
+        self.precipitation_mean = None
+        # Initialize number of ensemble workers
+        self.num_ensemble_workers = min(
+            self.config.n_ens_members, self.config.num_workers
+        )
+
+        # Store the state and params data:
+        self.state = StepsNowcasterState()
+        self.params = StepsNowcasterParams()
 
         # Additional variables for time measurement
         self.start_time_init = None
         self.init_time = None
         self.mainloop_time = None
 
-        # Initialize number of ensemble workers
-        self.num_ensemble_workers = min(
-            self.config.n_ens_members, self.config.num_workers
-        )
-
     def compute_forecast(self):
         """
         Main loop for nowcast ensemble generation. This handles extrapolation,
@@ -214,7 +222,7 @@ def _nowcast_main(self):
             precip,
             self.velocity,
             state,
-            self.timesteps,
+            self.tim_esteps,
             self.config.extrapolation_method,
             self._update_state,  # Reference to the update function
             extrap_kwargs=self.extrapolation_kwargs,
@@ -248,8 +256,8 @@ def _check_inputs(self):
                 f"shape(precip)={self.precip.shape}, shape(velocity)={self.velocity.shape}"
             )
         if (
-            isinstance(self.timesteps, list)
-            and not sorted(self.timesteps) == self.timesteps
+            isinstance(self.tim_esteps, list)
+            and not sorted(self.tim_esteps) == self.tim_esteps
         ):
             raise ValueError("timesteps must be in ascending order")
         if np.any(~np.isfinite(self.velocity)):
@@ -347,10 +355,10 @@ def _print_forecast_info(self):
 
         print("Parameters")
         print("----------")
-        if isinstance(self.timesteps, int):
-            print(f"number of time steps:     {self.timesteps}")
+        if isinstance(self.tim_esteps, int):
+            print(f"number of time steps:     {self.tim_esteps}")
         else:
-            print(f"time steps:               {self.timesteps}")
+            print(f"time steps:               {self.tim_esteps}")
         print(f"ensemble size:            {self.config.n_ens_members}")
         print(f"parallel threads:         {self.config.num_workers}")
         print(f"number of cascade levels: {self.config.n_cascade_levels}")
@@ -379,6 +387,11 @@ def _initialize_nowcast_components(self):
         """
         Initialize the FFT, bandpass filters, decomposition methods, and extrapolation method.
         """
+        # Initialize number of ensemble workers
+        self.params.num_ensemble_workers = min(
+            self.config.n_ens_members, self.config.num_workers
+        )
+
         M, N = self.precip.shape[1:]  # Extract the spatial dimensions (height, width)
 
         # Initialize FFT method
@@ -666,13 +679,13 @@ def _initialize_precipitation_mask(self):
         self.precip_forecast = [[] for _ in range(self.config.n_ens_members)]
 
         if self.config.probmatching_method == "mean":
-            self.mu_0 = np.mean(
+            self.precipitation_mean = np.mean(
                 self.precip[-1, :, :][
                     self.precip[-1, :, :] >= self.config.precip_threshold
                 ]
             )
         else:
-            self.mu_0 = None
+            self.precipitation_mean = None
 
         self.precip_mask = None
         self.precip_mask_decomposed = None
@@ -759,7 +772,7 @@ def _initialize_params(self, precip):
             "generate_noise": self.generate_noise,
             "mask_method": self.config.mask_method,
             "mask_rim": self.mask_rim,
-            "mu_0": self.mu_0,
+            "mu_0": self.precipitation_mean,
             "n_cascade_levels": self.config.n_cascade_levels,
             "n_ens_members": self.config.n_ens_members,
             "noise_method": self.config.noise_method,